Not sure how to help you. I had a '96 a few years ago, and when the AC was on (this was in Hotlanta) it was a gutless wonder. My brother was in town from out of state and drove it and asked me what was wrong, since it had no power.
The bucking problem... is your car and ATX (automatic transmission) ? Sounds like the beginnings of a transmission problem, IMO. How does it shift, a little clunky at times? You might want to check the fluid, maybe change it out.
Good luck. I ended up selling my '96 because of the constant problems with it. We bought it used and were putting big bucks into it before it was even paid for. I think it has been abused/ neglected in a former life.
Good luck. Sounds like you might have multiple problems going on. Good luck !