If the hanger that holds the spare tire on the underside isnt put back correctly, will that cause the rear to drive different?

What is your question?

I had a flat tire and tried to use the spare but couldnt get it off. Im not sure if i tightened it up correctly. The rear end jumps when going up hills now

What makes this problem better or worse?

Going up hills

How long has your 2003 Toyota Sequoia had this problem?

About a week