Ok, I believe I understand. So the relay receptacle is damaged?
The fog lights get their power from the low-beam headlight circuit. They turn off when the high-beams come on (per Federal and State regulation). The marker and tail lights all operate on a separate circuit though and as such are not affected by most things which will cause a head lamp failure.
I've replied to your other thread about your problem with the car not starting... It could be the alarm or the starter-kill relay. If the alarm isn't going off when you open the door though then the relay is more likely to be at fault. Refer to your other thread to continue this discussion.
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