Most cars that size would probably be ok for 1000 lbs to maybe 1500. I would think 2K would really be pushing it. I would think it would be ok around the marina but I don’t think it would be safe on the road.
Edit: from what I could find the towing capacity for a neon is anywhere from 1500 to 2000 lbs. So I would see what the hitch rating would be for your car or go with the Impreza rating.
Impreza
Subaru doesn’t supply hitches for the sedans or recommend towing.
2005, 2004, 2003, 2002 automatic trans 2000#; manual 1000#
2001, 2000, 1999, 1998 1997, 1996 1500#