wipers, heater, and headlights not working?

i would take to dealer or a mechanic you trust.

These are unrelated problems most likely, however, you may find some mouse damage to the wiring harness, etc., which could lead to various unrelated issues cropping up at once.  You'll need to have this tracked down by a mechanic for sure.

I have a 2001 GLX with exactly the same problem.  Drives me nuts.  One day, I'll turn the car on, and the wipers, blower, and turn signals do not work.  Sometimes I drive for 15 minutes, and they all come on.  Sometimes they don't.  Every time I've taken the car in for service the problem goes away before I get to the dealer, and they tell me they can't do anything about it if they can't replicate the problem.  Drives me absolutely nuts.  A real problem when it rains...