Something else to check. When shore power is plugged in, can you run a a vacuum off a wall plug? Sometimes, when you plug a camper in to a GFI circuit, the breaker trips, and you just think it is plugged in, when in reality, it isn't getting any power at all. Does the clock on the microwave work? (anothe clue about shore power). Have you checked all the breakers in the panel and RESET them all. Lastly, as post#2 ask, what is the voltage on the batteries when plugged in?
Check every hour and write it down, should show a steady increase, up toward 13.8 volts or so.
2012 Ford F250 ext. Cab 4x4
2002 Jeep Wrangler Sahara
2008 Yamaha V-Star 650 Classic
2008 Work and Play 18LT