Help with troubleshooting house battery

Thanks- it is the roof a/c, microwave and fridge that do not work off the house batt (only when it is on shore power or generator is on). I had assumed, based on the prior owner's advice to replace the house batt, that these would run once it was replaced.

I found an unlabeled kill switch next to the interior generator switch.... I'll go play with it to see if that changes anything.