One. I hope your entertainment devises are not wired directly to your house batteries. Usually they are wired in the ''120 volt'' wiring of your coach unless they are 12 volt devices. My guess is that they are wired thru your ''inverter''(the thingie that converts 12 volts to 120 volts) and when you are on ''shore power'' they run on shore power.
Two. It is fine to run your generator out on the road. Most of us run it to operate our roof air conditioners.
Three. DO NOT WATCH TELEVISION WHILE DRIVING. In some states it is against the law to have the TV playing while you are on the road.
If this is your first coach, you got a lot to learn.
A. Make a list of everything that will not work in the coach.
B. If possible, take video of stuff that will not work like they should work.
C. Dont be afraid to ask fellow campers questions. I once met a couple that were not shown how to empty their tanks and they had no idea as to how to put water in the water tank......
D. Buy a tool kit. Get one at Auto Zone with all the ''basic tools'' in it. about a hundred bucks ......
Since you are new, all this valuable information will cost you ten cents and you must pay me the next time you see me...........