Can upturned noses be corrected?

I was born with an extreme upturned nose and had rhinoplasty to correct it. The doctor put in an implant to extend the nose but it became infected and had to come out a few months later.

Now I am left with mishapen nostrils and still with an upturned nose. Since the first surgery went wrong, I'm not sure if I want to undergo rhinoplasty for a third time. Is there any surgical strategy that can correct my nose that will work?