Thanks for the admin access to your site. I was able to get in and do some testing today. When I tried to run Autotune, the error I got was:
Error
SSL Verification Failed. Set 'Disable SSL Certificate Validation' to Yes in the JFBConnect Configuration
Facebook API Error: SSL certificate problem: self signed certificate in certificate chain
Facebook Application configuration could not be loaded. Please check your App ID and Secret Key
That's similar, but different, from what you posted above.
I went ahead and followed the "Set 'Disable SSL Certificate Validation' to Yes in the JFBConnect Configuration" instruction and changed that setting in the JFBConnect -> Facebook area. Once I did that, Autotune ran as expected for me.
The "SSL certificate problem: self signed certificate in certificate chain" error means that the root SSL certificates for your site are out of date, which means that JFBConnect (or any extension trying to make outgoing connections) can't verify the host who you're connecting to (in this case, Facebook) and it refuses the connection. The setting I changed still makes a connection over SSL (securely), but the verification step is removed.
Again, I'm unsure why the error I saw was different, but it seems like the fix is working.
With that said, I did *not* try to login on the front-end. Please keep testing and let me know how things go.
Thanks,
Alex