Lots of possibilities here.....
First... Are you sure your Use / Store Switch was in the "USE" position when you were plugged into shore power? If not, your batteries were never charging and discharged over the last month when you thought they were charging. If you are in the "USE" position check the output of your Converter / Charger. There is a breaker for the unit itself but also regular fuses to protect against reverse polarity.
Second..... How old are your batteries? They could be at the point of needing replaced if they won't charge up and hold a charge BUT a trickle charger is not going to charge a deeply discharged deep cycle battery.
Third.... If they are wet batteries, when was the last time you checked to make sure the cells were adequately covered?
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