I just registered and logged into the site. I'm still not seeing posts. I really don't know any reason why logging in would change the behavior, that's simply not something we've seen or heard of before.
When you go to our JFBConnect home page, we have the fan box there. If you're logged out of Joomla (that's actually a separate Joomla installation in a subfolder, so you won't be logged in no matter what), but the stream always appears there.. to our knowledge:
www.sourcecoast.com/jfbconnect/
I'm still not seeing any admin posts on the Page below, directly from Facebook:
www.facebook.com/andreampls
I think that has something to do with it. Is the page set up in some way to hide posts for guests, or non-admins? Don't know of any options like that, but I think the behavior your seeing can be replicated on Facebook itself, which means it's not JFBConnect or the Like-box/JFBCFan module.
Hope that helps, and good luck,
Alex