You can try a third party application to force stretch the game window, but otherwise, nope, this isn't possible. What you want is 1080p borderless windowed.
You should click "reply" under a users post to directly reply to them, which also gives them an alert, such as what you get from this with the red envelope.
In addition to /u/KIPdeKIP 's suggestion, you can consider something like this, which will allow you to attain a wired connection without running a cord through your house (assuming you're not in the vicinity of your router). I'd suggest looking at local tech stores though, since they're usually much cheaper than this blog says.
Sounds like a shoddy wireless connection. Are you using wireless? If so... don't preferably. If you don't have a choice and wired isn't an option, look into power outlet wired adapters. They allow you to plug one in near your modem, and another near the PC and runs wires to the outlet, rather than to the modem.
If you have absolutely no choice in the matter, consider /u/lwrun's suggestion.