Andre,
That 500 error is ugly and we'll look into fixing that so the admin area is still accessible. I think something broke with this latest release in how we present that error, as I know it used to be better than that.
As to the problem, as the message says, cURL is required for Facebook (and JFBConnect) to function. cURL is a PHP extension that allows communication to other websites, which is critical for logging users in and making general calls to Facebook to operate.
You'll need to enable cURL on your localhost for JFBConnect to work. If you're using WAMP or any of the other localhost packages, this should be very easy to do.
Once that's done, the Facebook button should show in your login module, but if not, let us know.
Thanks,
Alex