I'm sure that you have fixed this by now. If not, I just wanted to throw in my two cents. I have a mid 90's Prizm as well. The car had sat for two years before I bought it. Shortly after I bought the thing I had the same exact problem that you are talking about. With my car it ended up being the starter. From the research that I did when I was troubleshooting my problem, I found that this is a common problem with these cars and it is almost always the starter. If this happens to anyone else I would suggest just giving the starter a few taps with a hammer and see if it starts up.