The black things are black heads, which are very hard to get out. Use Clearasil pads, they do not sting. It has 2% Salicylic Acid medication, and it is so strong 100% would burn. This doesn't really even sting. You can use these (scrub) to get the medication in the pores and kill the germs of the blackheads.
The oil, it might be skin oil or something like that. Maybe you have pimples in there, and that's the oil that help form the scabs coming out. Wipe your nose regularly
and be sure not to use any tissue that might have a lotion you're allergic to.