I was bitten by a dog 16 years ago. The asymetrical lip line and swollen appearance have always bothered me.
Blaw2, due to the concentric nature of your scar the area inside your scar looks swollen. I would handle this by doing geometric excision and closure of the 2 vertical components of your scar. May even consider adding the horizontal portion later on. I would follow this with aggressive scar care as it matures. And lastly consider a ablative resurfacing procedure to get the final aesthetic result. visit with several aesthetic facial specialists who have at least 10 years experience. look at their websites for examples of scar revision. Hope this helps good luck!
Based on the pictures posted, you have two problems1: Trap door deformity (Swelling)2: mal-allignement of the white roll line.This can be improved by scar revision. It will require artistic planning to correct both problems.