engine mounts shot? does the engine move a lot when you sift it from park to drive, then to reverse? it should move, but not much.

you can also either use the e brake if it works, out the car in drive, then go look at the engine, (or have some one hold the brake in gear while you watch the engine) see if its twisting in the bay, same for reverse, you can tell by the dog bones, (and you will see it turn in the bay) they will push to one side