I have had the same issue for 2 years with my Surface 2 purchased in 2013.
- when I press the power button, the screen does not start (stays black)
- the windows button works (ie it vibrates when pressed)
- the power cable’s light is on for approx. 10 min and then goes off
- When I hard reboot, the windows button does not vibrate anymore
I managed to start it again by hard rebooting then pressing the power button many many times. At some point, it starts, and when it does, I keep it turned ON all the time (no sleep, no hibernate, no power off - see power options).
I don’t know how to fix it. I feel it is the battery because the time goes off after such restart. Battery should keep it but it does not, so that’s my clue.
Please help. Thanks in advance!