What's the difference between open and closed surgery (rhinoplasty)? (Photo)

I find that for many primary rhinoplasties, unless your nose is very crooked I can get equal results with a closed result. This incision or your surgeon's choice of incision should not influence your choice of surgeon. It's more about finding someone you trust and you feel will get you the best result.

Open Rhinoplasty, in my opinion, is a better
option for correcting a
nasal deformity. The ability to expose the nose and see the deformity and correct it, versus
closed rhinoplasty, which is done in a more blind approach. There is really no difference in the
recovery time in my experience. This should be done in the hands of a Board Certified Plastic Surgeon or
Otolaryngologist with expertise in Rhinoplasty.

From your photos, you appear to be good candidate for rhinoplasty. You should be able to improve the shape and take away the droopiness of the tip. The only difference between a closed and open rhinoplasty is the small incision across the columella, but in the right hands, it heals very well. When the nose is open, the surgeon has excellent visualization to do the things that need to be done.

Closed Rhinoplasty is absent any visible external scars. Open has a visible scar across the columella of the nose which is permanent and visible. 

The
difference between an open and a closed rhinoplasty is the approach. Most
facial plastic and general plastic surgeons can perform either approach, and
the decision is informed by what type of reshaping maneuvers we're trying to
accomplish. Additionally, the open approach is preferred in patients who have
had nasal trauma or prior nasal surgery (where we anticipate an increase in the
technical difficulty of the procedure).
In a closed rhinoplasty the incisions are hidden inside the nostrils and all of
the work is performed through those incisions. There is no external (skin)
incision, so closed rhinoplasty carries the least risk for visible scarring.
Small to medium-sized hump reduction and many other rhinoplasty techniques may
be performed via a closed approach.
For me, to obtain the most control over the nasal tip for projection,
definition and symmetry, the open approach is the way to go. Think of it like
this: if you want to do technically precise work on the engine of a car, you'll
want to raise the hood (open rhinoplasty). The skin incision almost invariably
heals well, and for tip reshaping the control that you gain with the open
approach outweighs the risk of the skin incision.
Even more important than the type of procedure
is finding a Board-certified Facial Plastic Surgeon who you are comfortable
with, who you trust, and go with their fully-informed recommendation.

 Closed rhinoplasty involves making incisions only on the inside of the nose,  while open rhinoplasty  involves placement of incisions on both the inside and the outside of the nose. The closed versus open debate is only the approach to performing the surgery, not the actual surgery itself. Closed rhinoplasty can accomplish osteotomies, dorsal hump reduction, extensive tip suturing techniques, and advanced cartilage grafting techniques inside the nose. For many examples of closed rhinoplasty, please see the link and the video below

Some surgeons use an open technique adding a small incision at the midpoint of the columella and some used a closed technique using incisions inside the nose only.  Both are good ways. I prefer open because I can visualize all the structures and make adjustments with precision by direct vision.

With open there is a scar across the columella. Older surgeons usually do closed rhinoplasties,  younger do open. Best to pick an experienced rhinoplastic surgeon.