Application facebook backgammon

I want a facebook backgammon application where the players will play together 1.) single game (between them) or 2.) Tournament a.) with money or b) without money and they will pay at my paypal account Notes: 1.) No affiliate programms, the earnings will belong 100% to the owner of the application 2.) The players must be first like the page or application first to play and also they must send 10 invitations to friends to join. 3.) I want to have option how many friend invitations the users must send