Hello,
From the symptoms of the lump, sebaceous cysts and benign skin growths need to be evaluated and the lump on the nose can be a skin tag or a cutaneous horn. A cutaneous horn a conical projection above the surface of the skin that resembles a miniature horn. Cutaneous horns usually are asymptomatic.But sometimes they can become inflamed and cause pain.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your doctor. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.
SEE A DERMATOLOGIST !!!! ASAP