Hello and welcome!! Just a thought! I see you mentioned replacing the batteries, check them again with a load test to rule out a bad battery unfortunately I have gotten brand new bad ones in the past that worked a short time them had a cell go bad and would work for a short time but would not hold the charge any length of time.
the water heater should run on gas like the fridge when disconnected from shore power to keep the draw off the batteries.
Second could you be having and issue with your inverter and depending on your model is it set correctly if you have the optional monitor panel.
This should help give you some ideas as to where to start.
LIFE IS GOOD!!!! LIVING IT!!!!
2005 41'4 Atrium 8410 SE CAT
2017 20' weller's inclosed trailer
2014 Streetglide Special
2010 mini cooper
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