Based on the limited information, this is difficult to answer. The bumps could represent scar tissue or skin that was everted into the nose. Have an ENT doctor take a look; the answer should be readily evident to that doctor.

Hello,

If the piercing and the appearance of these lesions are weeks later and dont hurt, then this is scarring from the reaction of the nose ring. If the lesions are immediate after piercing and hurt, then this is a sign of infection. You may apply bacitracin ointment and then should see and ENT physician.
Thank you.

Dr Desai

If the area is sore that usually means an infection then use topical antibiotics as the area of nose and surrounding areas can be very dangerous if infected.
If not better consult an ENT specialist!!

Best to take the foreign body out, apply antibiotic ointment on q-tips to inside three times a day for 7 days