does d3d11=dx11 or is it just a part of dx11
It's a part of DirectX. DirectX is just the name of a collection of API's, D3D, XInput, XNAMath, just a bunch of libraries and the like you can use. D3D11 is simply the core base part of DirectX and is for rendering 3D things put simply

, and as its number says, it's version 11.
Anyway that screenshot is interesting, it's Visual Studio 2012 for starters, although the tab highlighting doesn't match the RC or earlier versions of it iirc. The extra boxes that say Durango and the greyed out drop down box to the left of "Debug" seems odd too... that's more boxes than I have in VS2012

, although I wonder if it's a different version of VS2012 than RC etc that could make it legit.
It's also horrifically close to the default code you get with any XNA project, just in C++. But looking at it... it's legit looking code.
I may be wrong but the .appxmanifest was introduced with Windows 8 for metro style apps? Seems odd that the next Xbox includes that if it's legit. Although MSoft seems to be keeping everything consistent across all platforms, so if the next Xbox has some metro things going on too, then that seems fair due to the current look of the 360's dashboard.