Probably not, but as it's not my code I can't tell for sure
No problem shown in the log. Probably something in the core game that triggers on rare occasions but hard to find without any errors in the log
Passing on: let's just say "kinda"
Passing more information to the log in that aspect makes sense, I will see what's possible there.
The "disconnected after" should be normal, if it is not shown that is more of an error
So I do not know why you get disconnected at those times. I would assume it's an client issue, not a server one, as this message can only be shown if the server receives a "disconnect"-package from the client (which would not be there if the server kicked you IIRC).
Well, for one it would probably allow more players on the server Not sure if it would affect anything else.
Doing so is a matter of having the steamworks integration for 64 bit which currently is not possible. Hope that changes in the really near future though.