One problem related to transmission not go into gear has been reported for the 1998 Plymouth Neon. The most recently reported issues are listed below.
Started transmission problems June 2001. Car slips out of gear while driving! valve head replaced. One week later stall and gear slip at stop sign. Main gasket replaced. 3 weeks later another stall and gear slip. Dealership tell me that nothing is wrong with car. Mid oct. 2001 engine became loose on freeway. Got local mechanic to install new engine mounts. Nov. 13th service mgr at barwick motors in California drove with me. Admitted that I had transmission problems and that barwick automotive would get my car working. One hour later he phoned to say that there was nothing wrong with car! this car is dangerous. I could be killed. What a pile of * * * *!.