Chester Rhinoplasty doctors

When I do rhinoplasty on patients with thin skin I always consider placing something over the cartilages to keep any edges from potentially showing.  This assumes everything is as smooth as possible already.  This usually involves crushed cartilage, but may also include temporalis fascia, or even acellular dermis (Alloderm).  Problems with thin skin tend to show up many months after surgery, so preventative measures should always be considered.  Admittedly, it is hard to tell much about your nose from the photo. 
 

That's a bit tough without examining your nose.  However, I would have a hard time leaving a significantly deviated septum alone during rhinoplasty, but I'm biased as an ENT/Facial Plastic Surgeon.  In my hands, I almost always harvest cartilage from the septum for grafting and in doing so would correct any septal deviation.  One thing to consider is that just because you don't have breathing problems now doesn't mean you won't after surgery.  I see this all the time in revision cases where no septoplasty or other maneuvers were done to prevent new onset breathing issues.  The reason is that some cosmetic maneuvers done to shape the tip or take down bumps on the bridge can cause slight narrowing of the airway that might make an underlying septal deviation symptomatic, even if it want not prior to surgery.  Good luck.

Did either surgeon provide computer imaging to communicate what they had in mind for the goal of the surgery?  I find this helps quite a bit to match my aesthetic analysis with that of the patient.  At the end of the day, you should go with the surgeon that understands what you don't like about your nose and has a reasonable plan to accomplish the changes.