The Battle net app logs in without a problem. When I go to launch the game it kicks itself to the login screen. I’ve put in my info and again kicks me back out.
I was able to purchase the War Chest, but haven’t been able to get back in since.
restart your bnet, mostelikely need an update and its not starting on its own, it did that to me…
Thanks for the tip. Just checking - running 4.10.0.75689.
Seems to be working today? Weird. It was happening on 2 Macs - so thought it was a Mac related glitch. Maybe it was just me.
Happened to me a while ago. Used Manatee’s recco and it worked. 
Got it going on another mac.
- Close battlenet and starcraft.
- Open Activity Monitor - there’s a task called Agent with a BZ logo.
- Force quit it. Launch battlenet again. Should be good.