Hypermobile lip surgery - yes or no? Braces - yes or no? (Photos)

I want to do upper lip repositioning surgery. My goal is to keep my lip from showing all the gum (see pics below). Overbite, used to it, but maybe correcting it may help with results of the lip surgery/reduce relapse. I was also told V Y lip surgery would be good, but I am not sold on it. I do not want my upper lip enlarged. 1. Would you consider me a candidate for lip repositioning? 2. Do you think upper teeth correction would help keep the upper lip showing less gum? 3. what about relapse?