The size of the tag / mole would largely determine the safest approach.
The first thing to consider is the IDENTITY of the tag / mole. If there is ANY consideration that it could be malignant, I would strongly advise you to have it or a piece of it cut for a biopsy - burning it with a laser would forever keep the identity a secret until, if a cancer, it came back, possibly worse than before.
Second, a laser is NOT a gentle tool. It literally cooks the skin inflicting a burn. Depending on the thickness of the burn and its location it may cause the lower lid to be pulled down. Google pictures for ECTROPION to see what I mean.
I am somewhat puzzled by what your eye doctor said because usually we can remove inner eyelid (CANTHUS) lesions without closing the wound and they heal well without major distortion of the tissues next door.
