Here's what I got when I used Blend to extract and edit the template for the DocumentViewer. I commented out the two buttons you mentions.
As far as the Zoom commands, it might have complained about invalid commands because you were missing a namespace import for System.Windows.Documents.
Xaml:
<Page
xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
xmlns:System_Windows_Documents="clr-namespace:System.Windows.Documents;assembly=PresentationUI"
x:Class="WpfApplication6.Page2"
x:Name="Page"
WindowTitle="Page"
FlowDirection="LeftToRight"
Width="640" Height="480"
WindowWidth="640" WindowHeight="480">
<Page.Resources>
<Style x:Key="DocumentViewerStyle1" BasedOn="{x:Null}" TargetType="{x:Type DocumentViewer}">
<Setter Property="Foreground" Value="{DynamicResource {x:Static SystemColors.WindowTextBrushKey}}"/>
<Setter Property="Background" Value="{DynamicResource {x:Static SystemColors.ControlBrushKey}}"/>
<Setter Property="FocusVisualStyle" Value="{x:Null}"/>
<Setter Property="ContextMenu" Value="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerContextMenu, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type DocumentViewer}">
<Border BorderBrush="{TemplateBinding BorderBrush}" BorderThickness="{TemplateBinding BorderThickness}" Focusable="False">
<Grid Background="{TemplateBinding Background}" KeyboardNavigation.TabNavigation="Local">
<Grid.ColumnDefinitions>
<ColumnDefinition Width="*"/>
</Grid.ColumnDefinitions>
<Grid.RowDefinitions>
<RowDefinition Height="Auto"/>
<RowDefinition Height="*"/>
<RowDefinition Height="Auto"/>
</Grid.RowDefinitions>
<ContentControl Grid.Column="0" Focusable="{TemplateBinding Focusable}" Grid.Row="0" Style="{DynamicResource ContentControlStyle1}" TabIndex="0"/>
<ScrollViewer x:Name="PART_ContentHost" CanContentScroll="true" Grid.Column="0" Focusable="{TemplateBinding Focusable}" HorizontalScrollBarVisibility="Auto" IsTabStop="true" Grid.Row="1" TabIndex="1"/>
<DockPanel Grid.Row="1">
<FrameworkElement DockPanel.Dock="Right" Width="{DynamicResource {x:Static SystemParameters.VerticalScrollBarWidthKey}}"/>
<Rectangle Height="10" Visibility="Visible" VerticalAlignment="top">
<Rectangle.Fill>
<LinearGradientBrush EndPoint="0,1" StartPoint="0,0">
<LinearGradientBrush.GradientStops>
<GradientStopCollection>
<GradientStop Color="#66000000" Offset="0"/>
<GradientStop Color="Transparent" Offset="1"/>
</GradientStopCollection>
</LinearGradientBrush.GradientStops>
</LinearGradientBrush>
</Rectangle.Fill>
</Rectangle>
</DockPanel>
<ContentControl x:Name="PART_FindToolBarHost" Grid.Column="0" Focusable="{TemplateBinding Focusable}" Grid.Row="2" TabIndex="2"/>
</Grid>
</Border>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style x:Key="ContentControlStyle1" TargetType="{x:Type ContentControl}">
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type ContentControl}">
<ToolBar Focusable="{TemplateBinding Focusable}" ToolBarTray.IsLocked="True" Language="en-us" KeyboardNavigation.TabNavigation="Continue" Uid="ToolBar_2">
<!-- <Button x:Name="PrintButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerPrintButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" Command="ApplicationCommands.Print" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="0" ToolTip="Print (Ctrl+P)" Uid="Button_14" VerticalAlignment="Center" Width="24"/> -->
<!-- <Button x:Name="CopyButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerCopyButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" Command="ApplicationCommands.Copy" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="1" ToolTip="Copy (Ctrl+C)" Uid="Button_15" VerticalAlignment="Center" Width="24"/> -->
<!-- <Separator Uid="Separator_110"/> -->
<Button x:Name="ZoomInButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerZoomInButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" Command="NavigationCommands.IncreaseZoom" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="3" ToolTip="Increase the size of the content (Ctrl +)" Uid="Button_16" VerticalAlignment="Center" Width="24"/>
<Button x:Name="ZoomOutButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerZoomOutButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" Command="NavigationCommands.DecreaseZoom" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="4" ToolTip="Decrease the size of the content (Ctrl -)" Uid="Button_17" VerticalAlignment="Center" Width="24"/>
<Separator Uid="Separator_111"/>
<Button x:Name="ActualSizeButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerActualSizeButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" CommandParameter="100.0" Command="NavigationCommands.Zoom" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="5" ToolTip="100% (Ctrl+1)" Uid="Button_18" VerticalAlignment="Center" Width="24"/>
<Button x:Name="PageWidthButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerPageWidthButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" Command="DocumentViewer.FitToWidthCommand" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="6" ToolTip="Page Width (Ctrl+2)" Uid="Button_19" VerticalAlignment="Center" Width="24"/>
<Button x:Name="WholePageButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerWholePageButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" CommandParameter="1" Command="DocumentViewer.FitToMaxPagesAcrossCommand" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="7" ToolTip="Whole Page (Ctrl+3)" Uid="Button_20" VerticalAlignment="Center" Width="24"/>
<Button x:Name="TwoPagesButton" Background="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerTwoPagesButton, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" CommandTarget="{Binding TemplatedParent, RelativeSource={RelativeSource TemplatedParent}}" CommandParameter="2" Command="DocumentViewer.FitToMaxPagesAcrossCommand" IsTabStop="True" Margin="2" Padding="2" Style="{DynamicResource {ComponentResourceKey ResourceId=PUIDocumentViewerButtonStyle, TypeInTargetAssembly={x:Type System_Windows_Documents:PresentationUIStyleResources}}}" ToolTipService.ShowOnDisabled="True" TabIndex="8" ToolTip="Two Pages (Ctrl+4)" Uid="Button_21" VerticalAlignment="Center" Width="24"/>
</ToolBar>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
</Page.Resources>
<Grid x:Name="LayoutRoot">
<DocumentViewer Style="{DynamicResource DocumentViewerStyle1}"/>
</Grid>