RVs have been made with every charging combination mentioned above
but many many do not charge the house when driving or the chassis
when on shore power .
Even if the OP had all those features they may not be operative now .
Really all he needs to be concerned with presently is why the alternator
is not charging the chassis batteries.
Then he can proceed to determine if other things are not right .
I think we can assume the batteries are ok since he was able to drive
3 hrs with accessories on before they began to wane .
If he has a volt meter and can determine if the alternator in putting
out approx 14v then trace the 14v to the rear elect bay where he may have
a solid state isolator .
If he has an isolator the alternator will probably feed the center post
and the house batt connected to one post and chassis batt to the other .
I can't include a picture but here is one on Amazon .
https://www.amazon.com/dp/B01A9I3GDA/ref=sspa_dk_detail_8?psc=1&pd_rd_i=B01A9I3GDA