It is possible that your power button is broken. That would explain the spontaneous reboots and the blue screens (boot loop). You say yourself that you are also having some difficulties with your power button.
Here is a way to find out, if you power button is stuck (you might want to read the posts above to also have the context of that case).
The good news is that the power button can be exchanged easily by a local repair shop. More on this here.