How Can I Remove This Burn Mark from Smoking Marijuana from my Lip?

We are NOT your treating surgeon! So we CAN NOT offer medical opinions. But "common sense" dictates with an open exposed wound that any activity would be a poor decision. 

Dermabrasion can be very effective for the contour in this area. We usually delay dermabrasion for about six weeks rather than one year. You might consider a second opinion with another Dermatologist or Facial Plastic Surgeon. Either way, ensure that you wear sunscreen every day to minimize...

Laser hair removal may help the situation longterm.  However, I would first pretreat the area with exfoliating lightening pads such as MelaPads.  This will help prevent and improve dark spots. Raffy Karamanoukian, Los Angeles

Begin treatment with a topical skin lightener such as Melarase PM first. The next step would be fractional co2 laser to resurface and even-out the skin. Raffy Karamanoukian, Los Angeles

White scars are difficult to treat.  In some skin types, we use the fractional co2 laser to stimulate production of melanin. Raffy Karamanoukian, Los Angeles

I would start out with topical skin lighteners such as Melarase, followed by either ablative laser or serial excision. Raffy Karamanoukian, MD Los Angeles