it sounds like blackheads its nothing to worry about just sqeeze it and it will come out
Might be the healing cold sore. I'd visit a Dr to get it looked at.
You should go to a dentist; the broken tooth, feeling sick, this allusive cold sore you describe, may all be related. If you're feeling sick, you might have some kind of oral infection. Teeth are just too close to the brain to let infections or dental problems go untreated.