A mole suddenly appeared on face above lip. It is darker than other moles on body. What would be suggested course of action? What could it be?

Probably biopsy. Sudden appearance of new dark mole on face is concerning as I discount the phenomena of "sudden awareness." need to see primary doc or derm to consider biopsy.
See your doctor. New moles, moles that changed in size, shape, color really should be examined by your physician. It would require visual inspection to determine if this is a mole that is of concern or not. Moles that are worrisome need to be removed and tested.