As a diagnostic approach, turn OFF the shore power circuit breakers and try everything. If the problem goes away, you may have a malfunctioning Power Converter (changes 120V AC to 12V DC). Normally the Power Converter would run your 12V DC devices and also keep the battery charged. But if it's malfunctioning, it may be letting the battery run down.
If the problem persists with shore power disconnected, check the battery charge level. You can do this in the control panel where you check tank levels, or on the auto-leveling control panel by cycling it to show battery voltage. If less than 12.0V the battery is not getting charged.