Owen it doesn't sound like you really uninstalled the game. It sounds as if you still have the control.con file that was in your messed up installation. Follow Unknown Soldier's instructions in this post
http://forums.bfnation.net/viewtopic.php?t=17154. Make sure the entire BFV folder is deleted or it will just keep the control settings file. Or you could just create a new profile in the game and it should have the default controls already set up. I forget how you set up a profile in the game, but it's in one of the options menus. Hope this helps.