When I turned off the inverter breaker all lights went OFF
Your batteries are not providing 12vdc to the house. THey are disconnected or a fuse or breaker is tripped or they are toast.
SOME RV's have an Energery Management system (Common in high end 50 amp units) this is designed to shed selected loads ICLUDING the A/C and Microwave when running on 30 amps and drawing too much current. THIS should hot affect outlets however.
I'm thinking there are circuit breakers on the inverter as well and they power the outlets and microwave
