Michael,
It would seem that when you pull current you get a shutdown which is likely due to low voltage from the battery bank. It is really hard to know what is going on and exactly why. We do not know if your battery bank is charged enough or has enough capacity capability to handle a load given you went back to older batteries.
As far as the big boy system, if it use to provide some tell tale sounds of functioning and it no longer does, then it could be bad or it could be that the electrical system that does the charging is not reaching the voltage levels that satisfies the requirements to switch it on or off.
My suggestion would be to unplug the AC cord at the power source, then throw all your AC breakers on and back off again including the one at the power post, ones in the bay if you have a box there, and the main panel in case your charger pulled a large surge when you shorted the batteries that partially tripped a breaker. I would see if the charger has a push button breaker on it and reset that also. This has a really remote possibility of fixing anything but it will not hurt.
After the breakers are all reset you should have enough AC amps/volts from your power source to run those items individually with the inverter off. Check that after the AC breakers are reset, if these items in the coach will work properly. If not then it could be that the transfer switch has been damaged. That uses 12V for a circuit board that switches the AC relays that select generator or shore power. This is just a possibility and not something that is diagnosed.
I think it is time to call in a good tech and have him or her check your batteries, charger/inverter, big boy system, and transfer switch for proper operation. Those systems all need to be in good order to live in the coach without problems.
Later Ed