when i sift to reverse my car makes a thump sound and it shimmeies when i put on

Get check engine light and oil pressure checked first to see if it's worth fixing any of the other problems.

have codes scanned at auto zone for free and post so we can adv

Have a mechanic check it out.

sounds like sounds like a loss of friction material on the friction disc in the transmission causing it to slip. the engine speed is a loss of resistance from the transmission.