After rads in my nasopharynx area (among others), I had problems with recurrent mild nose-nostril staph infections and nose bleeds for over a year (a few significant nose bleeds during rads).
The staph flare-ups were well controlled with a 'Double Antibiotic Ointment'.
My nose isn't the same, but isn't a big problem. It is often itchy, seems more susceptible to hay-fever irritations and at times can get drippy - ENT calls it old man nose