Electrical Question

The inverter sucks power out of the batteries, and those appliances can and will suck the batteries dry in very short order. The inverter and generator (and, for that matter, shore power) CANNOT be hooked up to anything (or each other) at the same time lest major damage be done to one or all. That's why there are safety switches that shut down the generator on you. You can plug into shore power. OR you can run the generator. Or you can use the inverter to power things, with or without the solar power.

The above is not true. If your coach has inverter, generator, shore power connections then it also has a transfer switch. It sounds to me like you have an issue there. What the switch does is isolate the various power sources and allows only one at a time to power the coach. If you are on shore or inverter power and start the generator you should do no harm as the transfer switch will automatically (should) provide the coach with power from the generator (Default to generator). Secondary is shore power and if neither of those is available the plugs which are wired to the inverter (only) will have power. Plugging in or turning on the inverter should NOT shut your generator down!