1988 Chrysler 5th Avenue Shaking and wobbling while driving

I was driving to see my friend, when all of a sudden my car started shaking and wobbling badly. It was similar to a washing machine on the spin cycle. I'd pulled over because I wasn't sure what the problem was & I knew that I needed to put oil in my car anyway. After putting oil in my car, it was okay for a few feet & then after hitting a bump, it started shaking again. My friend's husband said it could be the alignment, but the alignment was already messed up when I got the car and it never started shaking again until yesterday. What could be the problem?