Those are the checks where it tries to download files like the db-config.php, error.log and a few others (all of which should not be accessible from a URL). The "Connection refused" could either mean that they are not accessible (which would be good) or that it could not perform the test because something blockes the request.
Hmm. Do you have access to your webserver's logfiles? If so, check for any requests with a Geeklog user agent.
bye, Dirk