I don't expect this to be the problem source per se, but the circled solder joints on this board look suspect from the photo. Looks like heat stress cracks circling the pins. I'd look very carefully at these and the board holding the protection relay (bottom side of receiver). You'll need to unscrew that board to look at the traces. As was mentioned earlier, this receiver is not really for the first timer, but that's your call, not ours. There's really not enough detail in these small files to zoom in and do a better inspection over the net. Get bright light, a magnifying glass, etc to really look at those joints. I don't really see any board scorching, and your main caps look fine visually, but repeated use of a faulty system could cause them to vent if they overheat or get overvolted.
If you are determined to do some work yourself, build a Dim Bulb Tester before you power up the unit again. You'll need a 100W or even higher wattage bulb to check a big amp like this. But, it's great in preventing bigger problems from occurring while you troubleshoot and work on it. It may even give a clue as to why it's shutting down.