There is not an official server for role play so if want that to be an option you might want to check out this site: http://ffxiv-roleplayers.com/. Balmung and Gilgamesh are the unofficial role play servers. If your in Oceania and want an English speaking community Masamune also has a large English community, but its a legacy server so it will be fairly populated.

The weekends can actually be a hard time to create a character as character creation restrictions can be implemented when a large number of players are logged on. The loadstone will have updates a few times a day for current character creation restrictions, but the client will have the most recent list and they do not always match up. If you are having trouble getting onto the server you want I'd try to create a character earlier in the morning or late at night.

Just a heads up the three servers that were introduced at the PS4 launch are currently closed for transfers, so you wont be able to transfer on or off them for 3 to 5 months.

You can use party chat to talk to other PS4 players, but there is no voice chat in the game itself. If voice chat is needed most groups use Vent, Mumble, Teamspeak etc. On the PS4 I'd also recommend getting a usb or Bluetooth keyboard to make communicating with the community easier.