Well, I gave to a friend Arma 3 Lite so he can try it and he told me always when he try to play the game nothing happens, Simply makes a black screen for few seconds and then he is back to desktop and if he look at steam it says he is in Arma 3 Lite and he have to restart his computer to be able to join anyother game.
As far as I know, a lot of people got the same problem. Just search on google and youl find the same Issue. {F18598}