1) I assume you can as long as you run the correct wiring from the front to the rear TV.
2) Some how you are going to have to run a dedicated coax from the remote dish to the RV. Then run a dedicated line throughout the RV. For my install, I did not go with SWM technology simply because we like to boon dock and SWM requires a constant 120VAC to power it. Since you are running SWM you need to run a single coax cable from the back of the receiver to the antenna, and another I assume coax cable from the back of the receiver to the dumb receiver in the bedroom. Best IMHO to run dedicated cabling for your outside antenna. That way to switch back to the dome it is a simple matter of changing the coax coax cable.