I'm out of turns, what do I do next?

There's a lot more on LoB to do still, now that you're out of turns. You could go hunting for more turns by buying things from shops, buying drinks, buying apples, etc.,- all of those give you a chance to get more turns. There's always more to do besides turns or PvPing; there's the role playing aspect of LoB! You could go and role play peacefully in the Gardens or you could go and have a role playing fight in the Fighting Zones. Role playing is a good way to have fun, get into the game, and make friends. Don't worry about being shy, just do what the game is meant for and role play! You'll make fast friends.