Hehehe... welcome to the club.
To relieve a bit of your anxiety, no, you aren't boned. At least not yet you aren't. It depends on a few things. If you ripped up the pads on them, to the point where they can't be physically resoldered, then you might be boned.
However, there is still hope. It's physically possible to reattach them to the board, and have a working 360.
The only reason I know this, is because I've done it. Once. Granted, I'm not pretending to be a master at soldering. It was a messy job, and it took me over 2 hours to do 3 of the little buggers. However, realizing that this is a box that is otherwise going to be totally useless, so if I were you I'd make an attempt to resolder, or have someone else resolder it.
I'd suggest that you hunt around your local area for an electronics/tv repair store, or somewhere else as likely to have someone with soldering certification. Have them look at the box, and they should be able to tell you if they can re-attach the offending resistors.