One thing to check would be the engine mounts. The rubber tends to dry rot and break over time. If you are able to get the weight off of the mounts, they are easy to check. Junkyards throw them in the trash, so you're better off buying new.
YES
because the engine in that car does not cool down
You can tell if the transmission, in your 1998 Chevy Malibu, is going bad. If there is a whining or clunking noise. The transmission might cause your engine to install when you are stopped with your foot on the brake.
Stalling at idle? Immediately after starting? While driving? While stopping? Cold or hot engine? What engine do you have?
If the check engine light is illuminated, start with scanning for codes.
i would like to know what would cause the miss firing in Chevy Malibu
The 1999 Chevy Malibu with the 2.4 engine does not use a PVC valve. Instead the system uses an oil/air separator that can clog up and cause the same symptoms.
There are pages and pages of things that can cause a check engine light. You need to have it checked with a scantool. Then the code can be diagnosed and repaired.
A 1996 Malibu with a 2.4L engine shaking and running like it's on only two cylinders could be caused by several issues. Common culprits include a faulty ignition system, such as bad spark plugs or ignition coils, which can lead to misfires. Additionally, a vacuum leak, fuel delivery problems, or issues with the engine's compression could also cause similar symptoms. Diagnostic tools can help pinpoint the exact cause.
frozen pulley
bearings
There can be several things that will cause your 2003 Chevy Malibu to run rough and not shift into fourth here. The probable cause is a lack of fuel. Due to a bad fuel injector.