Agree with rrupert.
First - SAFETY. You need to figure out and fix the hot skin condition before anything else. It could be a badly wired household outlet, RV plug, RV power cord, or the 15-30 adapter. Share more information on what your setup is and maybe we can help narrow it down. Not fixing this could potentially kill/injure someone, and likely damage systems in your RV.
Second - BATTERIES. I'm not sure what 5-10 minutes run time (MH or genset) does for you other than to deplete the batteries. You should have some sort of a charge indicator showing what charging mode is being used. You need to get out of bulk charge at least before you shut down.