Why is the tip of my nose is deformed, and what can I do about it? (Photos)

What you are pointing out is what is referred as a hanging columella. The columella is the part between the nostrils. The lower end of the septal cartilage is pushing the columella down and is sticking out of the right nostril. Very simple to fix, but it is surprising how many surgeons either ignore it or try to approach it with complicated solutions such as cartilage grafts. As part of an overall rhinoplasty the hanging columella is corrected by removing the excess cartilage at the lower end of the septum as well as nasal lining.

Thank you for your question i would recommend operation using the latest Ultrasonic Rhinoplasty device Piezo®:
In traditional Rhinoplasty, surgical instruments known as rasps and osteotomies (hammer and chisel) are used to reshape the nasal bones by removing the hump and/or narrowing the nasal bone width. These tools are relatively imprecise and their use can lead to contour irregularities, etc. if not used in the proper manner. Recently, a technology that uses sound waves has been developed to contour nasal bones in a precise and far less traumatic way when compared to traditional techniques. Ultrasonic, or Piezo, Rhinoplasty is now the most advanced technology available for minimally traumatic nasal bone reshaping and hump removal during Rhinoplasty. There will be hardly any bruising and swelling which will make the recovery period a lot easier for the patient.

From the photos, you appear to be a great candidate for rhinoplasty. Your septum is deviated to the right which accounts for the asymmetry at the base of your nose. This can be made straighter and you nose refined so it looks smaller, but natural at the same time. Be sure to see a rhinoplasty specialist for consultation.