I remember we helped you back in August and a little of September with some issues, including some styling things, which really aren't our territory. We hadn't heard from you since, and we can only help diagnose and debug issues that we're aware of.
Starting with the 'easy' answer. If users can't log out of your site, it's likely because you have both "Auto-login Facebook Users" and "Log out of Joomla Only" set to yes in the JFBConnect configuration area. This is a known 'bad' configuration, and we have a note at the bottom of that page to call it out in bold:
NOTE: Setting both "Auto Login Facebook Users" and "Log Out Of Joomla Only" to Yes will prevent users from logging out.
(When they log out of Joomla, the next page load will detect their Facebook status and log them back in)
Please ensure you do not enable both of these settings. However, I just logged into your site, using my Facebook/Joomla account from when we were helping a few months ago, and I was able to log out using the JFBCLogin Logout button without issue. Not sure where you're seeing this problem.
As for the Error 110, we're not seeing this as we were able to log in without issue just moments ago. That, of course, doesn't mean it's not happening, just that we need more information.
Does this happen in all browsers? We tried Chrome.
Is it possible you have Cookies disabled in the browser you're trying?
Is this only on an 'initial' registration, or when returning to the site and trying to login again?
Can you try from another Facebook account and/or computer to see if the problem persists?
Finally, is there any more information you can give on this error? Since you mention that you can't log in (getting the 110 error), but also mention not being able to log out and other issues that imply your logged in, I think we may be missing something.
We're sorry your not happy with your purchase. Over the course of September, we definitely had quite a few releases, which have made JFBConnect as stable as it is today. While you may be having issues, the overwhelming majority of our users are not, which is allowing us to focus on the next big release, version 3.1.
As we did a few months ago, we'll do what we can to help you get to the bottom of the problems on your site.
Thanks,
Alex