When to Remove Alar Base Stiches?

Alar base stitches are sutures placed along the nostril-cheek crease, used to make the nostrils smaller. This is one area where scarring can be obvious in a rhinoplasty patient. There is no "magic" number of days for suture removal, but leaving the sutures in for too long causes scarring at the suture sites, often referred to as "railroad tracking."
Some patients are slower to heal than others. I generally remove all facial sutures in 1 week, unless the wound has not fully healed, then I would leave them in 2-3 more days. I usually do not leave sutures in longer than 10 days in this region.

It is best to remove stitches in the face by the fifth day so as not to leave any railroad tracking on the incision. Additionally, any sutures left in nine days will leave railroad tracking and should be avoided.

Hi Petal,
Alar sutures should be removed at 7 days.  Actually the longer the stitches are left in place, the greater the risk of those dreaded "stitch" holes that you are referring to. 
Be well and enjoy your new nose.
Dr. P