As Kairobot mentioned, the Moogle Cap and Cait Sith Doll minion was a special bonus voucher that was gained preordering ARR before it launched (it also allowed 'Early Access' a few days before the game actually went live). These were completely separate to the bonuses gained with the Collector's Edition of ARR, which were gained automatically if you were a 1.0 player and had registered a copy of the version 1.0 CE. To get the voucher you had to preorder a copy of the game, regardless if it was a standard or Collector's Edition, or if you were a 1.0 player or not (you could use the voucher with an existing 1.0 account however).

Sadly though, although it might be possible to find a voucher with the code (I know following the launch of ARR my local EB Games store was literally giving the codes away as they still had plenty of vouchers in stock), I'm not sure if the code is still redeemable this long since ARR's launch, as I know some bonus item vouchers have a strict time limit you can redeem them before they become invalid. Most likely they would not I'm sorry.