95 3.8l Headlight Issue

[Paramedic160]

I have a 95 3.8l mustang I recently bought. It has 216k on it, but drives great. While driving it the headlights suddenly went off, and came back on. They did this 2 more times, then stayed on. The next day they did it again and are now completely out. The bulbs are good, Ive replaced the headlight switch(however there was some burned plastic on it, but not on the headlight wire) ive pulled and cleaned all the fuses and their connectors. The battery teminals and conectors and clean and snug. Yet the headlights will not work, on bright or dim. I still have running lights and dash lights. However the clock, the radio and the courtesy lights that come on when you open the door wont work.