Do you have LED light bulbs in your RV? Inexpensive LED bulbs are often not shielded properly and will interfere with electronics - like a TV picture. Just a possibility. Other possibilities - There is a coax antenna connection loose somewhere. If your battery is turned off your antenna booster is off. Your antenna booster may not be working.
One way to troubleshoot - do you have a DVD player with you? Connect the DVD player directly to the TV and see if the same things happen under the same conditions. If yes, there is nothing wrong with your antenna,its booster, or your wiring from the antenna. If no DVD player now, wait until you get home and try this out.