There are significant risks in removing benign lesions from face in African American skin including permanent mismatched colors, hypo pigmentation, hyper pigmentation and keloids. Discuss with your dermatologist first.
There are a few options for removal of moles
however each option comes with risks, especially in African American skin type.
In the second photo it is hard to discern, but the moles appear to be
small benign keratoses (see a dermatologist to verify this). These may best be
removed with very low energy electrocautery using a small cautery tool. This
option has the least risk of scarring and discoloration to the skin, however
there is always a risk of hyperpigmentation or hypopigmentation in dark skin
type. In the first photo on the nose the benign mole appears larger and
deeper so the options of removal are by shave removal, punch excision or laser.
I do not recommend these options with your dark skin type because there is a
much greater risk of a more significant scar that may appear
discolored, indented, or with a raised bump. Discuss all options with an
experienced, certified dermatologist for more information.