yup, don't try charging the battery, running the HWH on electric, fridge on electric AND start the AC. Actually, you'd be best to run everything you can on propane while running the AC and have the batteries mostly charged before starting the AC. then you should be able to keep the converter on.
And, by NEC code, a 30A service in a trailer can only have something like 5 breakers if you don't have a load shed device. Since the AC, microwave and HWH must be on their own dedicated breakers by code because of the power draw, that only leaves 2 other breakers free. So...... virtually every one I've seen the converter is on one of the 2 breakers left for the outlets.
Which is somewhat problematic, since if the converter is working properly, if your charging a discharged battery bank, it will be drawing in excess of 1000W, and that doesn't leave much for everything else on that breaker.