Your insurance will definitely not pay for fillers to be placed in your nose and is highly unlikely to pay for a Rhinoplasty given the history. I am obviously a much bigger fan of the surgical approach, but a full answer would depend on how you would like your nose to look.
Non Surgical Rhinoplasty Candidate
You appear to be a non surgical candidate with HA fillers if you want to camouflage the bump on your nose. However, changing the tip or nostrils will require surgery and should be done by an expert. Best, Dr. Emer.
Surgical rhinoplasty candidate
Health insurance is not going to pay for a rhinoplasty procedure, so be prepared to pay for a cosmetic improvements to the nose. The photographs demonstrate a small dorsal hump and a hanging columella, both of which can be addressed with a closed rhinoplasty procedure. In our practice, we do not recommend non-surgical rhinoplasty because it is not FDA approved for that application, is temporary, and can have significant complications such as necrosis of the skin.