electrical issues on 1991 Acura Integra

I just bought a 91 integra and the right side headlight is dim, the heater shuts off when I turn the headlights on, and when ever I turn the headlights off they get real dim but don't turn completely off until I shut off the engine. The previous owner said it had been stolen. What could be going on?

Asked by for the 1991 Acura Integra
It sounds like you have a ground problem. Best thing to do is to check the wiring diagram and go over the lighting schematics and heater schematics. here is a site with the wiring that you need.