Do I Need Alar Base Reduction?

Surgeons evaluate the width of the nostrils by drawing an imaginary line down from the inner corners of the eyes. If the nostrils overlap this line, then we consider reduction of the alar width. Although you blacked out your eyes on the frontal view, it does appear that your nostrils are of normal width. Another view that would be helpful is a view of your nose from the base (with the tip of your nose pointed up towards the ceiling). This view allows us to evaluate nostril symmetry. The photos you sent do show a bulbous tip and a dorsal hump, which would certainly improve with hump reduction and tip refinement.

Alar base reduction is only necessary when wide nostrils are present.  The incisions are placed at the nostril sill and a small wedge of tissue, usually 3-5 mm, is removed from either the nostril sill, or the alar base or both, depending upon the issues.  This will narrow the base of the nose quite nicely and is only used for patients with a very wide nostril base.  

No - based on your photos it appears that you do not have excessive flare of the nostrils nor should you develop this through significant deprojection