Should have asked how many batteries you have. On my previous class C, if I ran a fan and a light or for, only for 3 hours or so, my batteries would not last overnight, That is they would be down to 50% or less ( 2 100AH batteries. My current class A has six 6v house batteries (200+ AH each). Of course it has a residential fridge, but batteries are often down 50% (12.1v or so) running only the refrigerator, and phone charger, night light, overnight. Unless you have a large battery bank or lithium batteries, they won't go very far before needing charging.
Inverter will have heavy battery cables going to it.