Thanks for the shots. I'd probably take it to the vet, asap. Whatever the growth on beak is, it seems to have incorporated/went right on through it

. Speed of increase in size, and second growth above eye (with no sign of infection - redness of surrounding skin/drainage/odor), maybe a carcinoma.? Can get strange growths secondary to infectious bronchitis, but with no other signs, unlikely. Pox can be overwhelming (but if it is, it's one idiosyncratic presentation).
Any vet should be able to, at the very least, perform an exam of the tissue microscopically (if it is something like Squamous Cell Carcinoma, for instance). At least you'd know if whatever it is is the result of something contagious.
Just shots of our "tumored tom" (chondrosarcoma), the growth did not impinge on the structure of the beak:
http://s30.photobucket.com/user/IvanIvanovich/library/SCREAMER?sort=3&page=1
You might want to download: Field Mainual of Wildlife Diseases (USGS publicaion):
http://www.nwhc.usgs.gov/publications/field_manual/
You can read it, online, as well (Section 4 on viral diseases - Pox shots).
If all else doesn't pan out: As a last chance option: Soak a heavy duty section of hemp or nylon thread in iodine/betadine, make an over hand knot at center of thread, place over growth(s) and tighten up knot at base of growth(s) until snug. Have another person immobilizing turk (wrap in towel), then wrap the ends of thread around both hands - quickly pull knot through growth until growth separates from beak/brow. Both sites will probably bleed so styptic powder/cautery pen (hot blade) ready.
We removed another tumor, from the tom's ( pictured), offspring, using yarn soaked in betadine; but that was not a growth impinging on other bodily structures.
You might also want to start a thread in the Emergencies section (link back to this thread), some member(s) might have seen just this sort of problem in chooks, etc.
Good luck!