Sorry for not responding by email. We don't monitor email nearly as frequently for support as we do the forums. The forums are where we provide technical support.
As to your issue, I used the Login with Facebook button on the right sidebar of your page and was properly redirected to our Login/Register page. I didn't follow through with registration, but it seems right to me. What browser are you using? I was testing with Chrome.
Other things to note though.. there was another Login button in the top right that displayed a popup. The Login with Facebook button in there didn't work, and seemed to come from your Gavick Template. I'd recommend disabling all Facebook integration in your Gavick template settings as it is likely conflicting with JFBConnect if enabled.
Finally, for 302 moved message, something is really wrong with your site. There actually is a redirect, on your home page that goes back to your home page. That's going to kill your search engine rankings and likely cause other issues. You can see the results using a tool like below:
tools.seobook.com/server-header-checker/...nt=1&typeProtocol=11
I don't know what's causing that, but it's not JFBConnect. I'd highly recommend looking into why your site has a redirect, to itself, on the home page.. and even test if the same odd redirect happens on other pages.
Hope that all helps,
Alex