What key shortcuts are to comment and uncomment code?

Use the keys CtrlK,C to comment out the line and CtrlK,U to uncomment the line.

You can also add the toolbar in Visual Studio to have the buttons available.

View > Toolbars > Text Editor

From your screenshot it appears you have ReSharper installed.

Depending on the key binding options you chose when you installed it, some of your standard shortcuts may now be redirected to ReSharper commands. It's worth checking, for example Ctrl+E, C is used by R# for the code cleanup dialog.

Keyboard accelerators are configurable. You can find out which keyboard accelerators are bound to a command in Tools -> Options on the Environment -> Keyboard page.

These commands are named Edit.CommentSelection and Edit.UncommentSelection.

(With my settings, these are bound to Ctrl+K, Ctrl+C and Ctrl+K, Ctrl+U. I would guess that these are the defaults, at least in the C++ defaults, but I don't know for sure. The best way to find out is to check your settings.)