To start, I added a subscription to your account for the Facebook login you have so you have the button under your name for both accounts.
As for the registration page, when I go, the below image is what I see. The page 'works', but I don't see the form that we normally have for selecting your existing account or registering a new one. Do you see this form? That may help us narrow down the issue.
Beyond that, I don't see anything else wrong with your configuration of JFBConnect. The login module seems to work, it's asking for permissions correctly, and redirecting to the create user page. If we get that working, you should be good to go. If you can see that, then I'm confused, but will be a good start to debug further.
If there's anything else that you know is wrong, let us know. Thanks!