if the rig is plugged in and you are only getting 10-11v readings, your charger is not working for some reason. you should be seeing 13-13.5v when on shore power.
did you check the breaker under the bed to make sure the inverter is getting shore power?
himcules (10x stronger than hercules)
2013 Forest River Berkshire 390BH-60
ex 2007 Jayco Greyhawk 31SS