It could be that your engine's alternator has failed. If so, then the chassis batteries are not getting charged. And if the chassis batteries are not getting charged from the alternator, then neither are your coach batteries.
A common source of alternator failure is overheating due to too much charging demand. If your two chassis batteries are discharged AND your several house batteries are discharged, then your engine's alternator will overheat because it is working too hard to charge too many batteries for too long a time.
The key is to reduce the demand on the alternator by running the generator for 30 to 60 minutes (or using shore power) to charge up both battery banks before starting the engine. Of course, this assumes your inverter/charger is working properly such that your generator (or shore power) is charging both battery banks.
Our coach is a power hog. We cannot go all night without the Auto Gen Start in the inverter starting the generator due to too low a voltage in the house battery bank. When dry-camping we have adapted; we have a portable 30 amp gasoline generator in the pickup that we run most of the time, including overnight.