Sounds like your house batteries are shot/not getting charged. What's the voltage at the batteries when shore power is shut off? Have you checked the water level in those batteries assuming they are golf cart batteries?
This post is my opinion (free advice). It is not intended to influence anyone's judgment nor do I advocate anyone do what I propose.
Sold 04 Dynasty to our son after 14 great years.
Upgraded with a 08 HR Navigator 45’...