Curious. I killed them all and it instantly faded to black and put me in a conversation outside of the fence. I then talked to the brothers and went back in for the big one. If your still stuck in the fence after killing your opponents I'd say you have a glitch.
Since you're still in the tutorial, just start over and try again. The character you created should be saved now, so you won't have to create a new one unless you felt you made a mistake. Just to be safe, this time try doing the contests in a different order. Also make sure you have the latest patches as there were apparently several game breaking errors in the initial release.