You should have your brakes cleaned! Or have a mechanic look to make sure nothing is wrong. My neon does this and after driving a while it stops. Sometimes rust,dust and dirt particals get on the drums !!
Probably the belt.
it is possible to be the brakes or the transmission have it checked by a mechanic.
Frozen brake caliper
Haynes repair manual, Dodge Neon 2000 thru 2003. Book #30036
If the brakes works it will stop UFDA
DrumDrum
Never.
Alternator belt needs adjusting
Could have either on the rear. Both were an option.
That will depend on many factors including driving habits. The brakes could last 30,000 - 150,000 miles.
Loose or worn A/C drive belt. Tighten or replace. If serpentine belt, replace.
Assuming they are Drum brakes most likely the wheel cylinder is bad.