Trouble shoot Inverter

I would start by taking a reading at your batteries when you are plugged into shore power and see if you are getting 113 plus volts across your terminals and post what you get here. With your MH disconnected from shore power the next day take a reading across your terminals and post it here, that will start the troubleshooting process. Sometimes if the battery is bad like shorted cells it could look like your charger is not working properly.