Haven't seen this addressed yet as you appear to have wifi problems, but-
When you say that the play game tab doesn't give you a message do you mean it just resets to the login form? Usually when that happens it means you miss-typed either your password or your username and doesn't actually log you in.
Other than that it appears your wifi connection might be too weak to handle the game in your flat- but I'm pretty sure that shouldn't affect your play game tab.
Could be wrong just offering my opinion- feel free to correct me on that.