Drop the LU whereby the shifter linkage is unmated at the splined shift shaft at the front top of the LU. Move the remote control through FNR to ensure that it's movable on it's own and place in the N position with a slight rocking motion to ensure that you are in the center of N.
With a pair of vise grips (my favorite tool but pliers will work) grasp the shift shaft stub on top of the LU, mentioned above, and attempt to twist the shaft one direction or the other with a mild to moderate twisting motion. It should move one way, the other, or both ways. Turn it until it's at a limit and you can feel a little detent which, upon slight rocking of the shaft feels like a pointed object in a conical object seeking the bottom.......which is just what you have with your shifter 3 position cam and the cam follower on the front of the prop shaft.
Rotate it back and forth a couple of times to get the feel of it and set it in the center position....N. Recouple your LU and things should work for you.
Mark