Hey, guys. I just wanted to elaborate on a previous comment as to how to play the game without the launcher. Obviously the launcher is having a connection issue. restarting the launcher or you PC will not fix this, also trying to reinstall the Blizzard app results in an endless download for the Agent Update portion of the install.
To launch the game and avoid the launcher your game is Obviously going have to be up to date so if you didnt update before this issue, Sorry, nothing can be done.
Anyways, so all you have to do is go to C:\Program Files (x86) (or the location you installed you WoW game files) click on World of Warcraft > retail> then WoW.exe. Do not click on anything that says Launcher. If you are trying to log on to classic just click the classic folder instead of retail.
Hope you guys can get back online! Good luck.