Is There an Easy Revision of Droopy Nose After a Primary Rhinoplasty? Is It Just the Columella? (photo)

The slight "droopiness" of your nose is referred to as a "hanging columella". In your pictures, this appears to be caused by a slight elongation of the midline cartilage of the nasal septum. A simple fix for this would be to trim 2 mm or so of the elongated septum. This would be a very minor procedure.

If, in addition to this, it bothers you that the tip of your nose moves when you smile, to resolve this would require a releasing incision of the muscle at the base of the nose (the nasalis muscle) to reduce the muscle's function.

At any rate, be sure to visit an experienced revision rhinoplasty surgeon (or surgeons) for a face-to-face consultation to fully assess your options before proceeding with any further course of treatment.

Your profile photo shows that the angle between your columella and your upper lip, the nasolabial angle is less than 90 degrees. it sould be about 100. The procedure is relatively simple and it can be done under local anesthesia. The tip of the nose is lifted superiorly and fixated to the septum after removing some of the lower septum. 

From the posted photos, it seems that altering the tip angle might be achieved without complex surgery. However, it's important to get a personal exam to determine exactly what the cause is and therefore the best course of treatment. It might be as simple as shortening cartilage or resuspending structures. But if the support is missing it may be more involved to get a long lasting result.