Just to be clear, all TV's are "satellite ready!" If you have a Dish receiver it will work with any TV, old or new. I'm guessing you meant the cables are all there you just have to hook up the Dish.
As to your question, Legally no. Technically yes. Depending on where you go with the RV, you may or may not get your locals, but other programming is possible assuming you can see the satellites where the RV is.
Legally you would need a separate RV account but that would be for those that use the RV for more than two weeks, but in your case you can call Dish and have them change your account temporarily to where you RV will be. This will get you the locals in the area your RV is. Be advised it will also get you the local sports from there also, not yours unless you are still in the same area as you live.