Will it run on generator? If not, the transfer switch is the first place I would look.
You definitely have a short somewhere. Could be in the junction at the shore power receptacle in that compartment, Could be at the shore power plug on the coach, could be a short up by the transfer switch.
You said you tried different cords with the same result, so I'm thinking probably not the cord itself.
Also, when you try, and the breaker flips, something somewhere is melting/burning a little more each time.
My coach came with the shore power cable hard wired. I modified it to install a pigtail there so that I could completely remove the 30-50 ft shore power cable and store it somewhere else, plus not have to run it though the little mouse hole. When I did that, I replicated Jayco's installation and used standard wire nuts. One of them came loose and created a short in that J-box, and I could have had a serious problem. Symptoms when that happened were similar to yours.