So there's a maximum password length of 16 characters for your game account. Not sure if this is written anywhere and maybe I just missed it. But either way, I'm posting it here.
If anyone out there is like me and uses long passwords, take note: Make your password NO MORE than 16 characters in length. Otherwise you will get "Unable to Connect". Unfortunately, I don't think you can change your game account password at the moment. So you're stuck creating a new account, for the time being.
Hopefully this helps some people get logged in successfully, like I was able to after figuring it out.