Hmm... Headlights/Turn Signal/Windshield Wipers help

Well I recently bought a 94 Sunbird and it works very well except for a few things I have noticed... Turn Signal and wipers work great, until i turn on the headlights. Once I do that if I turn on the wipers they wont shut off even after i turn them off at the switch. And my left turn signal will only flash every 3 to 4 seconds. Also, the pump for the windshield fluid turns on when I turn on the the left turn signal.

Any Ideas?

I'd say its a short somewhere, but hopefully you have it figured out by now!!!