Ah, great sleuthing! We've seen that error on 1 other site, which means it's very rare. It's basically saying that the SSL certificate from Facebook could not be confirmed. While it could mean that Facebook is compromised (it isn't), it more likely indicates your server does not have some of the more common root domain certificate authorities installed to which it can verify Facebook's SSL cert. Hopefully that sorta makes sense.
To tell the Facebook library to bypass this check of the SSL certificate, you can add the following code in the /administrator/components/com_jfbconnect/assets/facebook-api/facebook.php
Around line 97, you'll see
public static $CURL_OPTS = array(
CURLOPT_CONNECTTIMEOUT => 10,
CURLOPT_RETURNTRANSFER => true,
....
Try updating it to the following line (adding the first line at the top):
public static $CURL_OPTS = array(
CURLOPT_SSL_VERIFYPEER => false,
CURLOPT_CONNECTTIMEOUT => 10,
CURLOPT_RETURNTRANSFER => true,
....
This tells your server to ignore the SSL certificate. The session will still be secure, but IF Facebook gets compromised and the attacker targets your site, it means there could be a problem. In the scheme of things, we think this is a low-risk issue. An alternative is to contact your hosting provider to have them update their root certificates.
Hope this helps. If not, you know where to find us!