Finally went and picked up our new bun...in all of our excitement we missed that she has a sore or cut on her nose. Will this heal on its own? Should I treat it? Does she need to see the vet?
It should be fine. Just keep checking that it is healing nicely & obviously not bleeding any more. I use colloidal silver if any of my buns where to get a sore etc. Its a safe natural antibiotic made from ionised silver & stops the spread of bacteria etc-can be put in their water also if there is an infection present! But by the looks of things your bun will be fine providing the cause wasnt mites.
Looks to me like maybe somebody else got her through cage wire or something similar. It looks like it's been too long at this point for something like neosporin to really be that useful but if it makes you feel better you could dab a bit on (not the kind with the pain relief added in).