My Surface Pro 2 with a Type Cover 2 also sometimes reboots when either moving the Surface with the cover attached OR when removing the cover from the Surface.
I tried to post the error messages, but if you look at the log, there is no log for the exact point where it reboots, which it did at 8:49:10 PM...
The reboots don't happen every time, but it is very annoying when it does. Typically, when I notice it happen, I am either running Visual Studio Express 2013, or running a Win 8 game such as TapTiles, Minesweeper, Fruit Ninja, etc.
I might add, was running off the battery, not plugged in, and had around 50% battery remaining when it happened.