I have to beg to differ this time - My father tows a light duty trailer with load all the time on his 96 Dodge Neon, did so with a 85 VW Sciroco and 82 Toyota Celica. The car went 130,000 miles before it needed any major work. For a Neon on its own thats pretty impressive.
That said, going by the specs in the Neon owner's book states (the P5 and Neon have similar size, weight, HP and torque numbers) I would not recommend towing anything over 800 pounds. I've been toying with the idea of getting a hitch for my own car. Don't drive like a complete Formula 1 maniac and you should be fine.