Today I received my Galaxy S III 4G from Telstra and have thus far been unable to change or rearrange any of the icons in the Apps Draw. The usual hold-and-drag doesn't work and I can't find a way to change them in the settings menu so I'm stuck with the default Phone, Contacts, Messaging, Internet and Apps in that exact order.
I know it is possible to change them as I've seen it done on a friend's release day GT-I9300. My only thought as to why I can't is that mine is a GT-I9305 and is thus running 4.1.1 instead of 4.0.4. Seems a strange thing to leave out of an OS update if that is the case.