1.Does the room destory if the room creator comes out off Application
No. The dynamic rooms are automatically deleted if they remain empty for more than 60 minutes. It doesn't depend on the client who created the room.
Please take a look at our concepts page which explains the life cycle of rooms
2.If any player quit from game(due to internet connection failed) what happens to his turn.
The turn will be skipped and assigned to the next player. Other players in the room will get onMoveCompleted event with empty/null move data.
3. Does the turns in the game will managed by Appwarp?If so how?
Yes, turns are assigned in a fixed way. Its in the order in which the users join the room. So if the players join in the order A, B and C - then turns are also assigned in the same order. You can read further on our turn-based room concepts page