The game should not count as an active game once you are eliminated.
From the Help Page:
http://www.conquerclub.com/eticket/index.php39. Can I start a new game once I get eliminated, even though it remains on my active list?
Once you are eliminated from any game it does not count toward your game limit, if you are non-premium.
Use this link:
http://www.conquerclub.com/eticket/view.php to open an eticket and ask the admins for help if you can't make another game.
With only 2 active games that you are not eliminated from you should be able to start two new games.