I don't know about the "large tumor" but the thing that looks like a booger could be carp pox. Not fatal to the fish or anything, just doesn't look so nice. Hard to tell without a picture though. Maybe you could do a search for carp pox on the web, and see if it looks like that's what your fish has.
Hope this helps a bit...
By the way, congrats on keeping your goldfish from the fair for 11 years!

How big are they?
Maybe you can e-mail koko to post some pics, and someone can identify what your fish has.
Laura