The e-mail I registered with is giving me an error saying the email does not exist. I am unable to log in to the game with the account details I just recently registered.
This is definitely a Region Settings issue.
If you set your Region on the launcher to Europe or Australia and can log in then your account is registered for the European or Australian servers.
To play on the US servers, you will need to register a new account
here, and it will need to be done with a different email address.