FREE - In Google Play
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What happens if I lose my membership and I still have some unstarted tournaments on?
Do they cancel or can they still start after all requirements are fulfilled?
They can still be started. You are there now so you get to finish those that are in the system already...
What if the tournament is Invite Only and those players whom I sent won't accept it? Will I be able to send new invitations or not?
AS long as your the TD, you can send out invites.