I DID NOT have to redeem the game activation code. When I logged into Mog Station, my account was already active, I'm guessing because of the 1.0 account. I contacted SE support via email 3 days ago, and have yet to hear back from them about this.
The reason your account was already activated is because it stayed active from the EA code. You still have to put in the code that came with your CE in order to get the CE items.