Temperature too high
Yes it would cause it to overheat, your running low on coolant. Heater core is part of the cooling system.
Ok because I seen a little bit of coolant on my passenger floor and i see the coolant circulate through the front so I know it's,not the radiator thermostat or water pump
Keep the coolant level full until you can get the heater core replaced. Do not let the engine get hot, it would cause you a lot more grief and money to fix.
I just parked it till I go and buy a heater core I'm thinking about getting the water pump and belt changed as well
Getting the timing belt changed out, and the water pump changed are good, great preventive measures. The timing belt is crucial to be done correctly. Make sure you have someone who knows what there doing.
Looking for a Used Neon in your area?
CarGurus has 696 nationwide Neon listings and the tools to find you a great deal.
Search Dodge Neon Questions
Dodge Neon Experts