Ok if i uninstall.....

because login isnt working and fix tool says to reinstall. so when i uninstall wotlk, will i in turn have to have the original world of warcraft cd key.......burning crusade cd key....... and the wotlk cd key.... Because i beleave that its on record that ive payed for these games. its just i lost the cd keys and i do not want to go and get all three games agen just for the freakn cd keys....

Can i just get them off of my wow account file or something so i can do this.