Just asking an (I know) obvious question here, but did you actually purchase a copy of the game for PS3?

Every player, regardless of their status from 1.0, must purchase a copy of FF XIV: ARR for the PS3 in order to play on that platform (and register the product key on their existing service account).

The biggest mistakes being made are :

1) not understanding that you must actually purchase the game (again!) to play on PS3.

and

2) creating a new service account to register your PS3 code on accident.

I don't know whether you're in #1 or #2 or some weird account flag error. In any case, verify that you've made neither mistake 1 nor mistake 2 then continue your troubleshooting process.