Good afternoon and thank you for posting on the Final Fantasy XIV Technical Support Forums.

When exactly did this happen? Has it happened since?

If you keep getting the message "Connecting to PSN" then it sounds like you are having connection issues with the Playstation Network. I can't tell for certain if that was the reason, but you can't connect to the game (the launcher not appearing properly is a symptom of a connection issue) if you can't connect to the PSN.

How does your PS4 connect to your internet? Do you have a wired or wireless connection?

We hope we can be of assistance in helping you enjoy the exciting world of Final Fantasy XIV!