I have those, too. Do yours hurt badly? I am pretty sure these are black heads, that kind of turn into pimples. Try putting a warm wet rag on it. Picking them off can hurt, but for me it helps and they do not return.
Sounds like a blackhead, they're common around the mouth, especially if you use lip balm or lip gloss, as this can clog your pores. I know many people say you should never squeeze your spots, but in my experience the only way these blackheads round the lips ever go is to unclog the pore. As long as you do it properly, it will be fine.
after a shower or bath, wrap tissue round your fingers, squeeze upwards and outwards around the black dot, wash the area again afterwards. THat should get rid of it.
Definitely sounds like a blackhead. I agree that lip balm can cause these, and gloss for girls. Some people just tend to get them more around certain areas. I get them on my nose.
I'll be honest... I pick my blackheads out. I don't want them to turn into pimples or get larger. It's recommended not to pop any, but I just gently squeeze mine out without "popping" anything. Just be gentle and don't dig your nails into your skin or it will get very red. Some can be painful if they are in difficult spots. I find ones on the very edge of my nose can really hurt and so can the ones near the mouth.
To prevent them, you can use acne products meant for blackheads or a facial scrub to exfoliate dead skin cells that may cause the blocked up pores.