Heya,
Try adding a leaderboard and/or an achievement to your GameCenter even if you don't use em in your game.
I was working with Unity3D and that made a difference on one of my test accounts, it suddenly gor a teamPlayerID after i added a leaderboard and an achievement.
Before that i was also getting "Unavailable Player Identification".
Bradakan
Users receive reputation points by contributing quality content to the forums.
Posts include post and replies published on the forums.
Post authors can mark replies as Accepted to indicate successful solutions.
Apple Developer Forums admins can mark replies as Apple Recommended to indicate an approved solution