Can you flare your nostrils after Rhinoplasty? How long until you regain sense of smell?

I certainly see what you mean in your photos.  What can be done depends on some of the other features of your nose, which are not shown in the one photo.  Asymmetry is one of the more difficult challenges in rhinoplasty.  It may not be worth trying to correct in your case, but...

Your nose looks beautiful. Since you have thick skin, your definition is not that obvious, but still not a bad result.

Yes pressure can have an effect but in your case it will be reversible in my opinion. Your skin is good quality as you are young and your nose has thick skin in any case. You cannot alter the shape of the supporting cartilages of the nose with massage, so no harm done. 

You will find that very few of us will have a splint on after rhinoplasty beyond one week. You might ask your surgeon again to clarify the need, or to confirm you understand the aftercare plan.

A polly beak deformity can arise from scar tissue in the supra tip area or from under dissection. It can also occur with swelling initially. Best to be seen in person.

Your rhinoplasty would not have generated loose skin under the eyes.  Typically, once you've had a rhinoplasty that has been done well you start to focus on other things.  Such is life!  But have no fear.  You still have some good options available.  Consider tear trough...