Ok. Thanks for trying that for me. Now that we know the easy stuff is out of they way I would like to test the neutral safety switch as I believe this is the cause of your problem. I am attaching 2 images for you. One image is of your neutral safety switch and the other is to help you test it. You will notice this on your transmission. Disconnect the connector, and using the diagram provided, check for continuity using a DVOM, (digital volt ohm meter).
In park, terminals 1 and 2 should have continuity, and so should 3 and 4. Please check to see that they do. If they do not, then that is the reason you are having this problem...
Try adjusting the switch by loosening the mounting bolt and rotating the switch until you do have continuity at those terminals. If you are unsuccessful then the switch will need to be replaced.
Please let me know what you come up with. Thank you.
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