You may have more than one issue, but it sounds like you have a short someplace that is draining down your battery when you use the headlights. Can you take a look at the wiring to the headlights and make sure you don't have any bare spots, a pinched wire, etc? Does the car need a jump if you just use the parking lights, or is it just the headlights (this may help narrow it down)?

You may have to do some troubleshooting with an Amp meter, or by removing one fuse at a time to see if the symptoms go away. Do you have a wiring diagram for your car, you're probably going to need one?