WOA WOA WOA, back up. Neons are know for being fucked up, this was straight up a bad desicion. There are so many reliable makes, but older dodges arent one of them. Trust me, I've driven one that wasn't taken care of, and it wasn't worth the 300 i almost bought it for.
to any neon owners, im sure if you take care of it it will run good, but that isnt the case for used car lots and the previous owners of them.
to the OP, you either need to get rid of it, or identify every issue with the car, and be prepared to fix it as soon as possible. When a problem starts, it can only lead to more problems. Cracked radiator > overheating > fried gaskets > failcar.
No offense, but If it were me, Id either be fixing it or selling it at the moment.
And FYI, we all make this mistake once in our lives, dont fret it, lol.