You should be able to re-bind the remote to the other phantom. You'll need to go through the binding process each time you switch quads. The binding process is on page 19 of the manual and doesn't require opening the shell. The one you bought used is a Vision+ with the camera removed? If so the remotes should be compatible. But the Vision+ uses a 5.8GHz transmitter which isn't compatible with the standard Phantom 2 which uses a 2.4Ghz transmitter.