On #4... your amp has what's called a "thermal intermittent". In your case, the connection becomes better with heat. Heat expands parts and makes the connection tighter. It can also work in reverse.... where the expansion of heat pulls a connection apart.
Unfortunately, I don't know too much about this particular amp to help you out with real specifics.
The first place I would look... would be the Power Amp... in particular, the output power transistors. If there is a socket connection... check it, clean it... make sure the connection with the transistor pins are solid.
The second place... would be any connection with a power supply electrolytic. Then I would move on to any printed circuit board trace and soldered connection. It could be nothing more than a cold solder joint.
I have also seen them happen "inside" a power transistor.
But definitely, caps don't normally need any specific charge or warmup time.