Most users are new either to Joomla or to Facebook, so no worries there. That's what we're here for.
For the "unreachable" error, that's completely normal when you first get Facebook up and running. The first few times a page is accessed, Facebook won't know anything about it. Until they've scanned a few pages on your site, you'll see that on every page. After about 24 hours, it should go away on all pages as long as they are public. If your site is in Offline Mode, that will prevent Facebook from doing it's scans.
As for the FBLogin stuff, the reason that is likely not working is because you have other Facebook extensions installed on the site. They are re-inserting the Facebook Javascript Library file (all.js) and re-initializing it in a way that's incompatible with JFBConnect / advanced functionality. These are usually standalone Like buttons or other things that implement the 'basics' of Facebook and actually disable some of the advanced stuff we do.
Try to disable other Facebook features and see if that helps. If not, let us know, and we'll help you narrow things down!
Thanks,
Alex