Problem may be in the wiper motor, some GM cars have a wiper control module that goes bad, there was a recall on them. I don't recall if the Caviliar was one of those or not.
The most common cause that windshield wipers stop working is a blown fuse. The windshield wiper motor may need to be changed is also common.
with me it was the o2 censer
A bad pulse board or window wiper motor can cause your wipers to stay in the "up" position.
i was driving in the rain last night my headlights and wipers quit working and i stop the car for 15 minutes and they starting working again and they are still working what could have cause this my car is 2002 cavalier
Low fuel pressure
In my experience with my Chevy it was a ground wire
I had that problem and it was the wiper motor. I got one from the wreckers complete with the (transmission) or assembly and it works great. You can buy just the motor but it is more difficult to mount, I suggest changing the complete assembly.
have you checked your fuses?
Bad heater core.
The 2005 Cavalier could have a fuel leak. Have the entire fuel system checked, as a fuel leak can cause a dangerous fire.
There are several things that can cause your 1995 Chevy Cavalier transmission not to go into drive or reverse. The most common cause is a lack of transmission fluid. A broken shifting fork will also cause the problem.
you need to put a new ground on the wiper motor