I believe it is planned that you can look at past moves - and I hope it is something that will happen sometime soon..... there is a lot of information there that I could use to help learn how others play the game which will in turn help my game.
(hide) If you want to play a game with an opponent of a similar level, you can define a required BKR range for a new game invitation. Then nobody with a BKR outside this range will be able to see/accept it. (Katechka) (show all tips)