1. On the invite friends part, the "skip" button when clicked takes you away from the site to facebook where you get an error message;
Make sure you have set the "Post Invite URL" properly in the module settings. This should be a full path (<!-- m --><a class="postlink" href="
www.blah.com/xxxx">
www.blah.com/xxxx) to where users should be sent after they invite, or cancel the invitation to their friends.
The thread below (SourceCoast post towards the bottom) also explains how to change the text of the "Skip" button or possibly hide it.
<!-- m --><a class="postlink" href="
www.cmsmarket.com/forum/index.php?f=38&t=55&rb_v=viewtopic">
www.cmsmarket.com/forum/index.ph ... =viewtopic
2. Is there anyway to not have it log you out of facebook when you log out of the site?
Not really. If you wanted to make some modifications to the mod_jfbclogin module, I could help you remove the code to do this, but we don't think it's something most admins would want. Facebook recommends that you log out of both sites for security purposes, and so we implemented it this way. If you just wanted to log out of the Joomla side, any JFBConnect/Facebook Connect enabled modules would not recognize that the user is logged into Facebook.. they expect the user to be logged into both the Joomla and FB side.
3. Sometimes it seems to get caught in a redirect loop (not sure if it is this extension specifically).
There has been issues with this in the past, but we think we've got them all. If you can give a rundown of events that you've seen cause this, we'll be happy to investigate further.