It's quite possible the button is in a position where it's holding down the control and does a hard shut down. That side needs to be fixed to ensure button is not skewed to the point it's holding the power switch in.
I don't suppose you have an accidental warranty on this machine? With that damaged I am surprised the screen didn't break too!
I don't suppose you have an accidental warranty on this machine? With that damaged I am surprised the screen didn't break too!