OKay wanna hear something ghetto? This could fix that little hole. Cut a piece of the carpet from the back of a closet, and glue it down in that hole. I have done that so many times in apts that got small burns in them. I bet a million dollars they will never know! Usually there is a little extra kinda folded under in the closet. Even if there isn't, take a patch from the corner...they will never know!!! Good luck!
Ps, I totally sympathize with you. Thor destroyed..I mean TORE UP a carpet at my boyfriends old apt (becuase we didn't crate him one night while we were out) He chewed and ripped a good 3 sq ft of carpet and shredded the under pad. Whew...good thing him and his roommate got into a huge fight...he moved out and I didn't have to pay!