How set property background "Transparent" in listbox - wpf

Question

I have ListBox and i need set background "Transparent".
I've selected in red, then that should be transparent:
style ListBox, ListBoxItem, ScrollViewer and ScrollBar:
<Style TargetType="{x:Type ScrollBar}">
<Setter Property="Stylus.IsFlicksEnabled" Value="false"/>
<Setter Property="Foreground" Value="{DynamicResource {x:Static SystemColors.ControlTextBrushKey}}"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type ScrollBar}">
<Grid x:Name="GridRoot" Width="{DynamicResource {x:Static SystemParameters.VerticalScrollBarWidthKey}}">
<Grid.RowDefinitions>
<RowDefinition MaxHeight="18"/>
<RowDefinition Height="0.00001*"/>
<RowDefinition MaxHeight="18"/>
</Grid.RowDefinitions>
<Rectangle Grid.RowSpan="5" RadiusX="0" RadiusY="0" StrokeThickness="1" Stroke="#FFF0F0F0" Fill="#FFEFEFEF"/>
<RepeatButton x:Name="DecreaseRepeat" Style="{DynamicResource NuclearRepeatButton}" Command="ScrollBar.LineUpCommand">
<Grid>
<Path x:Name="ArrowUp" Height="6" Width="10" Data="F1 M 541.537,173.589L 531.107,173.589L 536.322,167.49L 541.537,173.589 Z " HorizontalAlignment="Center" VerticalAlignment="Center" Stretch="Uniform" IsHitTestVisible="False">
<Path.Fill>
<LinearGradientBrush EndPoint="0.7,0.75" StartPoint="0.25,0">
<GradientStop Color="#CC000000" Offset="0.25"/>
<GradientStop Color="#7F000000" Offset="0.75"/>
<GradientStop Color="#33000000" Offset="1"/>
</LinearGradientBrush>
</Path.Fill>
</Path>
</Grid>
</RepeatButton>
<Track Grid.Row="1" x:Name="PART_Track" Orientation="Vertical" IsDirectionReversed="true">
<Track.Thumb>
<Thumb Style="{DynamicResource NuclearThumbStyle}"/>
</Track.Thumb>
<Track.IncreaseRepeatButton>
<RepeatButton x:Name="PageUp" Style="{DynamicResource NuclearScrollRepeatButtonStyle}" Command="ScrollBar.PageDownCommand"/>
</Track.IncreaseRepeatButton>
<Track.DecreaseRepeatButton>
<RepeatButton x:Name="PageDown" Style="{DynamicResource NuclearScrollRepeatButtonStyle}" Command="ScrollBar.PageUpCommand"/>
</Track.DecreaseRepeatButton>
</Track>
<RepeatButton Grid.Row="2" x:Name="IncreaseRepeat" Style="{DynamicResource NuclearRepeatButton}" Command="ScrollBar.LineDownCommand">
<Grid>
<Path x:Name="ArrowDown" Grid.Row="4" Height="6" Width="10" Data="F1 M 531.107,321.943L 541.537,321.943L 536.322,328.042L 531.107,321.943 Z " HorizontalAlignment="Center" VerticalAlignment="Center" Stretch="Uniform" IsHitTestVisible="False">
<Path.Fill>
<LinearGradientBrush EndPoint="0.4,1" StartPoint="-0.3,0">
<GradientStop Color="#CC000000" Offset="0.25"/>
<GradientStop Color="#7F000000" Offset="0.75"/>
<GradientStop Color="#33000000" Offset="1"/>
</LinearGradientBrush>
</Path.Fill>
</Path>
</Grid>
</RepeatButton>
</Grid>
<ControlTemplate.Triggers>
<Trigger Property="Orientation" Value="Horizontal">
<Setter Property="LayoutTransform" TargetName="GridRoot">
<Setter.Value>
<RotateTransform Angle="-90"/>
</Setter.Value>
</Setter>
<Setter TargetName="PART_Track" Property="Orientation" Value="Vertical"/>
<Setter Property="Command" Value="ScrollBar.LineLeftCommand" TargetName="DecreaseRepeat"/>
<Setter Property="Command" Value="ScrollBar.LineRightCommand" TargetName="IncreaseRepeat"/>
<Setter Property="Command" Value="ScrollBar.PageLeftCommand" TargetName="PageDown"/>
<Setter Property="Command" Value="ScrollBar.PageRightCommand" TargetName="PageUp"/>
</Trigger>
</ControlTemplate.Triggers>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style TargetType="{x:Type ScrollViewer}" BasedOn="{x:Null}">
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type ScrollViewer}">
<Grid Background="{TemplateBinding Background}">
<Grid.ColumnDefinitions>
<ColumnDefinition Width="*"/>
<ColumnDefinition Width="Auto"/>
</Grid.ColumnDefinitions>
<Grid.RowDefinitions>
<RowDefinition Height="*"/>
<RowDefinition Height="Auto"/>
</Grid.RowDefinitions>
<ScrollContentPresenter Grid.Column="0" Grid.Row="0" Margin="{TemplateBinding Padding}" Content="{TemplateBinding Content}" ContentTemplate="{TemplateBinding ContentTemplate}" CanContentScroll="{TemplateBinding CanContentScroll}"/>
<ScrollBar Visibility="{TemplateBinding ComputedHorizontalScrollBarVisibility}" Grid.Column="0" Grid.Row="1" x:Name="PART_HorizontalScrollBar" Orientation="Horizontal" Value="{Binding Path=HorizontalOffset, Mode=OneWay, RelativeSource={RelativeSource TemplatedParent}}" ViewportSize="{TemplateBinding ViewportWidth}" Minimum="0" Maximum="{TemplateBinding ScrollableWidth}" AutomationProperties.AutomationId="HorizontalScrollBar"/>
<ScrollBar Visibility="{TemplateBinding ComputedVerticalScrollBarVisibility}" Grid.Column="1" Grid.Row="0" x:Name="PART_VerticalScrollBar" Orientation="Vertical" Value="{Binding Path=VerticalOffset, Mode=OneWay, RelativeSource={RelativeSource TemplatedParent}}" ViewportSize="{TemplateBinding ViewportHeight}" Minimum="0" Maximum="{TemplateBinding ScrollableHeight}" AutomationProperties.AutomationId="VerticalScrollBar"/>
</Grid>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<!---->
<ControlTemplate x:Key="ScrollViewerControlTemplate1" TargetType="{x:Type ScrollViewer}">
<Grid x:Name="Grid" Background="{TemplateBinding Background}">
<Grid.ColumnDefinitions>
<ColumnDefinition Width="*"/>
</Grid.ColumnDefinitions>
<Grid.RowDefinitions>
<RowDefinition Height="*"/>
</Grid.RowDefinitions>
<ScrollContentPresenter x:Name="PART_ScrollContentPresenter" Margin="{TemplateBinding Padding}" Grid.Column="0" Grid.Row="0" Content="{TemplateBinding Content}" ContentTemplate="{TemplateBinding ContentTemplate}" CanContentScroll="{TemplateBinding CanContentScroll}" CanHorizontallyScroll="False" CanVerticallyScroll="False"/>
<ScrollBar x:Name="PART_HorizontalScrollBar" Cursor="Arrow" AutomationProperties.AutomationId="HorizontalScrollBar" Maximum="{TemplateBinding ScrollableWidth}" Minimum="0" Value="{Binding HorizontalOffset, Mode=OneWay, RelativeSource={RelativeSource TemplatedParent}}" Orientation="Horizontal" Style="{DynamicResource ScrollBarStyle1}" Height="Auto" ScrollViewer.HorizontalScrollBarVisibility="Auto" HorizontalContentAlignment="Stretch" VerticalContentAlignment="Stretch"/>
</Grid>
</ControlTemplate>
<LinearGradientBrush x:Key="VerticalScrollBarBackground" EndPoint="1,0" StartPoint="0,0">
<GradientStop Color="#E1E1E1" Offset="0"/>
<GradientStop Color="#EDEDED" Offset="0.20"/>
<GradientStop Color="#EDEDED" Offset="0.80"/>
<GradientStop Color="#E3E3E3" Offset="1"/>
</LinearGradientBrush>
<SolidColorBrush x:Key="ScrollBarDisabledBackground" Color="#FFFFFF"/>
<Style x:Key="ScrollBarButton" TargetType="{x:Type RepeatButton}">
<Setter Property="OverridesDefaultStyle" Value="true"/>
<Setter Property="Focusable" Value="false"/>
<Setter Property="IsTabStop" Value="false"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type RepeatButton}">
<Microsoft_Windows_Themes:ScrollChrome x:Name="Chrome" SnapsToDevicePixels="true" RenderMouseOver="{TemplateBinding IsMouseOver}" RenderPressed="{TemplateBinding IsPressed}" Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph="{TemplateBinding Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph}"/>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style x:Key="VerticalScrollBarPageButton" TargetType="{x:Type RepeatButton}">
<Setter Property="OverridesDefaultStyle" Value="true"/>
<Setter Property="Background" Value="Transparent"/>
<Setter Property="Focusable" Value="false"/>
<Setter Property="IsTabStop" Value="false"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type RepeatButton}">
<Rectangle Fill="{TemplateBinding Background}" Width="{TemplateBinding Width}" Height="{TemplateBinding Height}"/>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style x:Key="ScrollBarThumb" TargetType="{x:Type Thumb}">
<Setter Property="OverridesDefaultStyle" Value="true"/>
<Setter Property="IsTabStop" Value="false"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type Thumb}">
<Microsoft_Windows_Themes:ScrollChrome x:Name="Chrome" SnapsToDevicePixels="true" RenderMouseOver="{TemplateBinding IsMouseOver}" RenderPressed="{TemplateBinding IsDragging}" Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph="{TemplateBinding Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph}"/>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<LinearGradientBrush x:Key="HorizontalScrollBarBackground" EndPoint="0,1" StartPoint="0,0">
<GradientStop Color="#E1E1E1" Offset="0"/>
<GradientStop Color="#EDEDED" Offset="0.20"/>
<GradientStop Color="#EDEDED" Offset="0.80"/>
<GradientStop Color="#E3E3E3" Offset="1"/>
</LinearGradientBrush>
<Style x:Key="HorizontalScrollBarPageButton" TargetType="{x:Type RepeatButton}">
<Setter Property="OverridesDefaultStyle" Value="true"/>
<Setter Property="Background" Value="Transparent"/>
<Setter Property="Focusable" Value="false"/>
<Setter Property="IsTabStop" Value="false"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type RepeatButton}">
<Rectangle Fill="{TemplateBinding Background}" Width="{TemplateBinding Width}" Height="{TemplateBinding Height}"/>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style x:Key="ScrollBarStyle1" TargetType="{x:Type ScrollBar}">
<Setter Property="Stylus.IsPressAndHoldEnabled" Value="false"/>
<Setter Property="Stylus.IsFlicksEnabled" Value="false"/>
<Setter Property="Foreground" Value="{DynamicResource {x:Static SystemColors.ControlTextBrushKey}}"/>
<Setter Property="Width" Value="{DynamicResource {x:Static SystemParameters.VerticalScrollBarWidthKey}}"/>
<Setter Property="MinWidth" Value="{DynamicResource {x:Static SystemParameters.VerticalScrollBarWidthKey}}"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type ScrollBar}">
<Grid x:Name="Bg" SnapsToDevicePixels="true" Background="{TemplateBinding Background}">
<Grid.RowDefinitions>
<RowDefinition MaxHeight="{DynamicResource {x:Static SystemParameters.VerticalScrollBarButtonHeightKey}}"/>
<RowDefinition Height="0.00001*"/>
<RowDefinition MaxHeight="{DynamicResource {x:Static SystemParameters.VerticalScrollBarButtonHeightKey}}"/>
</Grid.RowDefinitions>
<RepeatButton Style="{StaticResource ScrollBarButton}" IsEnabled="{TemplateBinding IsMouseOver}" Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph="UpArrow" Command="{x:Static ScrollBar.LineUpCommand}"/>
<Track x:Name="PART_Track" IsEnabled="{TemplateBinding IsMouseOver}" Grid.Row="1" IsDirectionReversed="true">
<Track.DecreaseRepeatButton>
<RepeatButton Style="{StaticResource VerticalScrollBarPageButton}" Command="{x:Static ScrollBar.PageUpCommand}"/>
</Track.DecreaseRepeatButton>
<Track.IncreaseRepeatButton>
<RepeatButton Style="{StaticResource VerticalScrollBarPageButton}" Command="{x:Static ScrollBar.PageDownCommand}"/>
</Track.IncreaseRepeatButton>
<Track.Thumb>
<Thumb Style="{StaticResource ScrollBarThumb}" Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph="VerticalGripper"/>
</Track.Thumb>
</Track>
<RepeatButton Style="{StaticResource ScrollBarButton}" IsEnabled="{TemplateBinding IsMouseOver}" Grid.Row="2" Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph="DownArrow" Command="{x:Static ScrollBar.LineDownCommand}"/>
</Grid>
<ControlTemplate.Triggers>
<Trigger Property="IsEnabled" Value="false">
<Setter Property="Background" TargetName="Bg" Value="{StaticResource ScrollBarDisabledBackground}"/>
</Trigger>
</ControlTemplate.Triggers>
</ControlTemplate>
</Setter.Value>
</Setter>
<Style.Triggers>
<Trigger Property="Orientation" Value="Horizontal">
<Setter Property="Width" Value="Auto"/>
<Setter Property="MinWidth" Value="0"/>
<Setter Property="Height" Value="{DynamicResource {x:Static SystemParameters.HorizontalScrollBarHeightKey}}"/>
<Setter Property="MinHeight" Value="{DynamicResource {x:Static SystemParameters.HorizontalScrollBarHeightKey}}"/>
<Setter Property="Background" Value="{StaticResource HorizontalScrollBarBackground}"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type ScrollBar}">
<Grid x:Name="Bg" SnapsToDevicePixels="true" VerticalAlignment="Stretch">
<Grid.RowDefinitions>
<RowDefinition/>
</Grid.RowDefinitions>
<Grid.ColumnDefinitions>
<ColumnDefinition MaxWidth="{DynamicResource {x:Static SystemParameters.HorizontalScrollBarButtonWidthKey}}"/>
<ColumnDefinition Width="0.00001*"/>
<ColumnDefinition MaxWidth="{DynamicResource {x:Static SystemParameters.HorizontalScrollBarButtonWidthKey}}"/>
</Grid.ColumnDefinitions>
<RepeatButton Style="{StaticResource ScrollBarButton}" Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph="LeftArrow" Command="{x:Static ScrollBar.LineLeftCommand}" Background="#FFEB0707"/>
<RepeatButton Style="{StaticResource ScrollBarButton}" Grid.Column="2" Microsoft_Windows_Themes:ScrollChrome.ScrollGlyph="RightArrow" Command="{x:Static ScrollBar.LineRightCommand}"/>
</Grid>
</ControlTemplate>
</Setter.Value>
</Setter>
</Trigger>
</Style.Triggers>
</Style>
<!---->
<Style TargetType="{x:Type ListBox}">
<Setter Property="SnapsToDevicePixels" Value="true"/>
<Setter Property="ScrollViewer.HorizontalScrollBarVisibility" Value="Auto"/>
<Setter Property="ScrollViewer.VerticalScrollBarVisibility" Value="Auto"/>
<Setter Property="ScrollViewer.CanContentScroll" Value="True"/>
<Setter Property="HorizontalContentAlignment" Value="Stretch" />
<Setter Property="VerticalContentAlignment" Value="Center" />
<Setter Property="BorderBrush" Value="{StaticResource btnPressStroke2}"/>
<Setter Property="BorderThickness" Value="1"/>
<Setter Property="Padding" Value="1"/>
<Setter Property="Foreground" Value="{StaticResource OutsideFontColor}"/>
<Setter Property="Background" Value="Transparent"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type ListBox}">
<Grid>
<Border BorderThickness="{TemplateBinding BorderThickness}" Background="#FFFFFFFF" BorderBrush="{TemplateBinding BorderBrush}" CornerRadius="2">
<ScrollViewer Template="{StaticResource ScrollViewerControlTemplate1}" Margin="1" Focusable="false" Background="Transparent">
<WrapPanel Margin="2" IsItemsHost="True" />
</ScrollViewer>
</Border>
</Grid>
<ControlTemplate.Triggers>
<Trigger Property="IsEnabled" Value="false"/>
<Trigger Property="IsGrouping" Value="true">
<Setter Property="ScrollViewer.CanContentScroll" Value="false"/>
</Trigger>
</ControlTemplate.Triggers>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style d:IsControlPart="True" TargetType="{x:Type ListBoxItem}">
<Setter Property="SnapsToDevicePixels" Value="true"/>
<Setter Property="OverridesDefaultStyle" Value="true"/>
<Setter Property="HorizontalContentAlignment" Value="Stretch" />
<Setter Property="VerticalContentAlignment" Value="Center" />
<Setter Property="Padding" Value="3" />
<Setter Property="Foreground" Value="{StaticResource OutsideFontColor}"/>
<Setter Property="Background" Value="Transparent"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type ListBoxItem}">
<ControlTemplate.Resources>
<Storyboard x:Key="HoverOn">
<DoubleAnimation Duration="00:00:00.1000000" Storyboard.TargetName="BackgroundGradientOver" Storyboard.TargetProperty="Opacity" To="0.73"/>
</Storyboard>
<Storyboard x:Key="HoverOff">
<DoubleAnimation Duration="00:00:00.4000000" Storyboard.TargetName="BackgroundGradientOver" Storyboard.TargetProperty="Opacity" To="0"/>
</Storyboard>
<Storyboard x:Key="SelectedOn">
<DoubleAnimation Duration="00:00:00.1000000" Storyboard.TargetName="BackgroundGradientSelected" Storyboard.TargetProperty="Opacity" To="0.84"/>
<DoubleAnimation Duration="00:00:00.1000000" Storyboard.TargetName="BackgroundGradientSelectedDisabled" Storyboard.TargetProperty="Opacity" To="1"/>
</Storyboard>
<Storyboard x:Key="SelectedOff">
<DoubleAnimation Duration="00:00:00.4000000" Storyboard.TargetName="BackgroundGradientSelected" Storyboard.TargetProperty="Opacity" To="0"/>
<DoubleAnimation Duration="00:00:00.4000000" Storyboard.TargetName="BackgroundGradientSelectedDisabled" Storyboard.TargetProperty="Opacity" To="0"/>
</Storyboard>
</ControlTemplate.Resources>
<Grid SnapsToDevicePixels="true">
<Rectangle x:Name="BackgroundGradientOver" Fill="{StaticResource hoverGradient}" Stroke="{StaticResource hoverStroke}" RadiusX="2" RadiusY="2" Opacity="0"/>
<Rectangle x:Name="BackgroundGradientSelectedDisabled" Fill="{StaticResource grayGradient}" Stroke="#7F8E8F8F" RadiusX="2" RadiusY="2" Opacity="0"/>
<Rectangle x:Name="BackgroundGradientSelected" Fill="{StaticResource BtnOverFill}" Stroke="{StaticResource selectedStroke}" RadiusX="2" RadiusY="2" Opacity="0"/>
<Rectangle x:Name="BackgroundHighlight" Margin="1" Stroke="#A0FFFFFF" RadiusX="1" RadiusY="1"/>
<ContentPresenter
x:Name="contentPresenter"
Content="{TemplateBinding Content}"
ContentTemplate="{TemplateBinding ContentTemplate}"
HorizontalAlignment="{TemplateBinding HorizontalContentAlignment}"
Margin="{TemplateBinding Padding}"/>
</Grid>
<ControlTemplate.Triggers>
<Trigger Property="IsSelected" Value="true">
<Trigger.ExitActions>
<BeginStoryboard Storyboard="{StaticResource SelectedOff}" x:Name="SelectedOff_BeginStoryboard"/>
</Trigger.ExitActions>
<Trigger.EnterActions>
<BeginStoryboard Storyboard="{StaticResource SelectedOn}" x:Name="SelectedOn_BeginStoryboard"/>
</Trigger.EnterActions>
</Trigger>
<Trigger Property="IsMouseOver" Value="True">
<Trigger.ExitActions>
<BeginStoryboard Storyboard="{StaticResource HoverOff}" x:Name="HoverOff_BeginStoryboard"/>
</Trigger.ExitActions>
<Trigger.EnterActions>
<BeginStoryboard Storyboard="{StaticResource HoverOn}"/>
</Trigger.EnterActions>
</Trigger>
<Trigger Property="IsEnabled" Value="false">
<Setter Property="Foreground" Value="{DynamicResource DisabledForegroundBrush}"/>
<Setter Property="Visibility" TargetName="BackgroundGradientSelected" Value="Hidden"/>
</Trigger>
</ControlTemplate.Triggers>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style x:Key="ExpanderHeaderFocusVisual">
<Setter Property="Control.Template">
<Setter.Value>
<ControlTemplate>
<Border>
<Rectangle SnapsToDevicePixels="true" Margin="0" Stroke="Black" StrokeDashArray="1 2" StrokeThickness="1" />
</Border>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
ListBox in XAML:
<ListBox Grid.Row="2" x:Name="list_category" Background="Transparent" ItemsSource="{Binding Tables[0]}" VerticalContentAlignment="Stretch" >
<ListBox.Resources>
<SolidColorBrush x:Key="{x:Static SystemColors.HighlightBrushKey}"/>
<SolidColorBrush x:Key="{x:Static SystemColors.HighlightTextBrushKey}" Color="Black"/>
<SolidColorBrush x:Key="{x:Static SystemColors.ControlBrushKey}" Color="#00FFFFFF"/>
</ListBox.Resources>
<ListBox.ItemTemplate>
<DataTemplate>
<GroupBox Header="Сопровождающие" Width="300" VerticalAlignment="Stretch" VerticalContentAlignment="Stretch" HorizontalAlignment="Stretch" x:Name="GroupBox" Background="Transparent">
<DockPanel Tag="{Binding id_Person}" VerticalAlignment="Stretch">
<Button Click="Button_Click" DockPanel.Dock="Top">
<Button.Content>
<DockPanel VerticalAlignment="Stretch">
<StackPanel DockPanel.Dock="Top" Orientation="Horizontal" HorizontalAlignment="Center">
<TextBlock Text="{Binding surname}" Padding="5" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="{Binding name}" Padding="5" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="{Binding lastname}" Padding="5" HorizontalAlignment="Center" Foreground="#FFB51414" />
</StackPanel>
<Grid DockPanel.Dock="Bottom">
<Grid.RowDefinitions>
<RowDefinition />
<RowDefinition />
</Grid.RowDefinitions>
<Grid.ColumnDefinitions>
<ColumnDefinition />
<ColumnDefinition />
<ColumnDefinition />
<ColumnDefinition />
<ColumnDefinition />
</Grid.ColumnDefinitions>
<TextBlock Text="{Binding quarter}" x:Name="quarter" Padding="5" Grid.Column="2" Grid.Row="1" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="{Binding halfyear}" x:Name="halfyear" Padding="5" Grid.Column="3" Grid.Row="1" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="{Binding year}" x:Name="year" Padding="5" Grid.Column="4" Grid.Row="1" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="Период: " Padding="5" Grid.Column="1" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="Квартал" Padding="5" Grid.Column="2" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="Полгода" Padding="5" Grid.Column="3" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="Год" Padding="5" Grid.Column="4" HorizontalAlignment="Center" Foreground="#FFB51414" />
<TextBlock Text="Цена: " Padding="5" Grid.Row="1" Grid.Column="1" HorizontalAlignment="Center" Foreground="#FFB51414" />
</Grid>
<Grid DockPanel.Dock="Top" MinHeight="180" MaxHeight="180">
<Image Source="{Binding photo}"/>
</Grid>
</DockPanel>
</Button.Content>
</Button>
<Button DockPanel.Dock="Bottom" x:Name="send_mess" Tag="{Binding id_Person}" Click="send_mess_Click" Content="Написать сопровождающему"/>
<DockPanel DockPanel.Dock="Bottom" HorizontalAlignment="Center" Tag="{Binding id_Person}" >
<ComboBox VerticalAlignment="Top" x:Name="combobox_term">
<ComboBoxItem Content="Квартал" Tag="1"/>
<ComboBoxItem Content="Полгода" Tag="2"/>
<ComboBoxItem Content="Год" Tag="3" IsSelected="True"/>
</ComboBox>
<CheckBox Checked="CheckBox_Checked" Unchecked="CheckBox_Unchecked" IsChecked="{Binding id_Person, Converter={StaticResource CheckBoxToCheked}}" Content="Выбрать" />
</DockPanel>
</DockPanel>
</GroupBox>
</DataTemplate>
</ListBox.ItemTemplate>
</ListBox>

Answer 1

In your control template, you have a statement saying
<Border ... Background="#FFFFFFFF">...
Since that doesnt inherrit the background of the style, you are hardcoding the background for your Listbox.
Try changing that to Background={TemplateBinding Background}
N.B.
Its in the default style for ListBox... The complete statement is
<Border BorderThickness="{TemplateBinding BorderThickness}" Background="#FFFFFFFF" BorderBrush="{TemplateBinding BorderBrush}" CornerRadius="2">
<ScrollViewer Template="{StaticResource ScrollViewerControlTemplate1}" Margin="1" Focusable="false" Background="Transparent">
<WrapPanel Margin="2" IsItemsHost="True" />
</ScrollViewer>
</Border>