I've had a mole on my belly button for as long as I can remember and recently little black dots have been appearing. (photos)

Please see an expert.  This can be removed by shave removal or surgical removal by a dermatologist that is well trained. Scarring can be treated with lasers or microneedling, I also recommend using silicone based scar gels. I suggest consulting with an experienced board certified dermatologist. ...

Signs of infection include increased swelling, redness and pain, drainage/ pus, and increased temperature. If you have swelling, warmth, and pain I would suggest following up with your physician as soon as possible for evaluation. Best, Dr. Emer

Excision of the mole under local is easy and runs $350-500 and is so worth it. The remaining scar should look a lot better than the mole itself.