Hello,
For black spots on face effective treatment options are alpha- or beta-hydroxy acids, hydroquinone, tretinoin, isotretinoin, dermabrasion to laser treatment .I sincerely advise you to consult a dermatologist and discuss these possibilities with him.
I hope it helps. Take care and regards.
Something that helps increase cell turn over like microderm abrasion might help. MaryKay has a really good Microderm Abrasin set that I love. A medical spa might also have some treatments that are a little more invasive.