Zac,
This is my job, and I love it. Developing Joomla extensions is fun, but we like helping out users as well, so no worries about the support requests. Besides, your subscription is there just for that reason. Facebook integration (heck, Joomla in general), can be confusing. That's what we're here to straighten out!
The logging out issue is what I mention above (
here
). Since you have "automatically log Facebook Users In", and you aren't using our Logout button (which logs the user out of Facebook as well), JFBConnect is automatically logging them back in.
To fix, you'll need to either disable the Automatically Login Facebook Users setting or add the Javascript code in the post above to Kunena's logout button so that user's are properly logged out of their Facebook account when they log out of your site.
As for the Login and forgot links, you may simply be able to get rid of those by going into the Global Configuration area of Joomla and disabling "Allow User Registrations". If that doesn't work, then you may have to modify Kunena's template file for that login area. The file is usually /components/com_kunena/template/default/loginbox/login.php , but I'm assuming you've already modified that little to get our Login with FB button there.
Hope that all helps, but if you need more assistance, just let us know. As for a review on the Joomla Extension Directory, we'd definitely appreciate it, but we'll help you either way
Thanks,
Alex