Good questions, and I'll take them each point by point below:
When a logged in session is left for too long, it seems Facebook logs the Joomla site out, and throws an error message when trying to access the Joomla site. THe only way I could get around this was to completely close the browser to clear the session.
This is one of the 2 bugs that were fixed in the (just released) 2.0 version. Please try this version and definitely post here if you're still experiencing this issue.
My Facebook invitees didn't seem to receive their invites.
You're the 2nd post, I believe, that's mentioned this. Now that the 2.0 stable component is out, this is going to be the next problem we'll be investigating. We don't think it's affecting all sites, so we may ask for more information about your configuration if we can't easily reproduce it on our test servers.
But the main request/question is when you envisage this component being able to post to the Facebook wall/feed any new articles submitted on the site. THis would make the component perfect.
While I haven't used it, another author has posted the following module below. I looked at it on his site (you can see the demo page if you go to his forum post), and it looks like what you may be looking for (you have to log into his site first and click on an article to see it in action). Again, it's not ours, but we plan on helping developers create and distribute their own products so you can customize your JFBConnect site however you'd like. If it works, let others know, and if you want more or changes, let the author know!
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Hope this helps
Questions and issues
