Hi, it would help to know what make, model of RV you have to help.
Make sure you don't have to switch a valve from tank to shore hose when connected. You shouldn't have to run the pump when on the hose. A valve should control whether you fill the tank or just pressurize the system from the hydrant. Once you are sure the water tank has water in it, your water pump should work. Many parks will shut your water off if they see the hose leaking. I always carry a package of spare rubber hose washers in case one falls out.