I did this last night, the 4-4-4 code is the PSN Code, you redeem it under the Account Management actions on your Playstation home screen, I have yet to find a use for the other code as the URL printed on the flyer doesn't work.

I entered the 4-4-4 code and then when I started FF XIV it asked me to confirm relinking my account, at which point it credited me with 30 days to my account and sent me all the CE items via delivery Moogle (which were all waiting after I logged in).