Thank you for the PHP info printout. Yes, cURL is installed on your system. However, if you look at the "disabled_functions" line, curl_exec is disabled. Because of that, no cURL requests can be made from your server. You will need to remove that call from the disabled_functions list (or contact your hosting provider to do so). Making outgoing requests to each of the social networks is a requirement of JFBConnect.
I hope that helps,
Alex