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After setting the transmission on R, and the shifter on R, it did not seem to fix what I hope and perceive my problem. There are times when putting the car in park that it is not going all the way into park. It goes in enough to be able to turn engine off and remove key, but when returning to start the car, nothing.... And there was an instance when I was parked on an uphill incline and when I put it in park, it would move backwards when I took foot off brake, and would be making not really a bad grinding noise, but bad enough. If I try try park another time or two, it goes in. I thought maybe it was the plate not being located far enough forward for there to be room for the shifter to go far enough. Then I found this utube on how to adjust the linkage and tried that. I wonder if I should set the tranny to park and the shifter to park when I try to adjust it again?
I remember setting my trans in park and setting my shifter to park, adjusting the cable, then running it through the gears to make sure everything hit where it should. That did it.
The shift lever needs to be in park but pulled back against the detent as if you were pulling it into reverse (they use a spacer in front of the shifter in the AIM). Then the cable at the transmission needs to be pushing the shift arm all the way into park. That way when it's in park on the shifter it's putting a little more pressure on the trans lever rather than just sitting in the park detent.
Also the cable up to the steering column needs to be moving freely and not bottomed out. If it is it will be trying to push the trans shifter back out of park or prevent it from fully going into park
(for one cotter pin it might be worth pulling the steering lock cable off and see if that changes your problem)