Fred, I think the guys pretty well answered your questions. I’ll back them up. The inverter charger and some house circuits get power via one 30 amp leg coming off the 50 amp circuit breaker/fuse main box that runs to the inverter. Your coach may be somewhat different than mine, but see the photo below of the flags I added to ours early-on when I was trying to understand it myself.
Knowing how many amps each inverter-sourced device uses can help; add up the amps of the ones that run overnight, multiply that by the hours they might be on, and make sure that number doesn’t exceed the total amp-hour rating of your house battery bank. For example, any lights left on might each use 1amp per hour, a hydronic unit’s pumps and igniter use some… but use direct 12 volt off the batteries. They still add into the amps use equation.
An electric heater left on low overnight might go 800-1200 watts (~10 amps/hour) via the inverter. Our RV fridge plugs into one of the 50 amp Main’s circuits, not the inverter’s leg, so it goes to propane when off the grid. People with residential fridge conversions must use their inverter circuit for that, and count its amps into the overnight mix. Our gas fridge means I don’t have to.
I put small white labels on some 110v appliances, like the coffee maker and microwave (10amp @) to remind me how many amps each uses, for calculating all-day consumption, so I don’t approach too closely the 12v (50%) battery status red zone, before running the generator. As Eric noted, you’re best off with four or more 6 volt deep cycles than your two 12 volt ones. And when adding up amp use, remember that batteries suffer if you allow them to go to 50% charge, i.e. 12 volts; 12.8v is actually full charge, despite the batteries’ moniker of “12v”. Older batteries won’t have the total amp-hrs of new ones either; as Eric mentions, the plate surface counts… but it’s reduced by sulfur deposits with age
It’s likely your generator starts off the chassis 12v set of batteries, as ours does and like Fred says. There are some coaches that have house set generator starters, a few switched over by previous owners for their own reasons.
Joel