with me it was the o2 censer
maybe a bad cam orn lobs on cams can cause that
Low fuel pressure
In my experience with my Chevy it was a ground wire
have you checked your fuses?
During acceleration? I'm not sure. But when both idling and acceleration the engine's combustion can cause a lot of vibration in the steering wheel if you are in an older vehicle.
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.
Blown Head Gasket or Bad Cylinder Head