Ivo,
Thanks for the access to the site. In the System Information -> PHP Info area, there's the following line:
disable_functions ---- exec, passthru, shell_exec, system, proc_open, popen, curl_exec, curl_multi_exec, show_source
That is specifying specific PHP calls that aren't allowed. For Facebook connect to function at all, you will have to allow curl_exec calls to be made. This is how all communication with Facebook occurs through JFBConnect, and has been that way since 3.0. The new release of JFBConnect is not the problem. It's likely this broke before you upgraded to 4.1 (whenever the PHP configuration options were changed), but just noticed after the upgrade.
For more information on the disable_functions directive, see:
www.php.net/manual/en/ini.core.php#ini.disable-functions
That will need to be fixed by your hosting company or by yourself in your PHP.ini file, if you have access.
Hope that helps,
Alex