Double lip after rhinoplasty. Could augmentation surgery fix my lip?

I had rhinoplasty 3 years ago, and my smile has not returned back to normal. I appear to have a double lip when I smile now, and a bit of my inner philtrum hangs down above my teeth. The shape of my upper lip has changed a lot from the side profile too (giving a stiff upper lip look). My septum was lifted quite a lot and my bridge is far too low, so I'm looking to get augmentation surgery. Could this fix my lip too, or will I need further surgery?