Open Vs Closed Rhinoplasty to Fix Nose Hump?

My first impression was that a closed rhinoplasty would work fine.  However, it looks like you may have poor tip support and require a columellar strut or tip graft.  This is best done with an open approach.

Experienced rhinoplasty surgeons don't use the terms 'open' or 'closed'--both approaches involve incisions (endonasal may in fact be more destructive in some cases). In my experience, the external approach does not take much longer (if at all) in terms of recovery in this type of situation, and offers the advantage of superior results.
However, the technique used will depend on your discussion with your surgeon and his/her experience with each technique. Importantly, review results from that surgeon and make sure you communicate well with him/her.
Hope this helps.