The primary causes of upper lip incompetence are either skeletal (tall upper jaw) or soft tissue (short upper lip). Based on your photos, you may have a combination of the two. Flaring of the upper teeth can also contribute. Orthognathic Surgery (corrective jaw...
Lets give it a try! Fillers could be a good solution. Scar tissue has a way of making lip augmentation a bit less predictable. Sometimes the scar acts as an internal baffle however you don't know until you try. Should it be an unacceptable result you can melt the filler...