but both of the error console dumps are ok, they have nothing to do with joomlawatch !
Try to do the following:
Log into the administration, choose JoomlaWatch component, then -> View Page source from your browser menu.
In this source, search for a string: var rand='YOURNUMBER'; (where YOURNUMBER is a confidential 9-digit number)
This number is different for every installation , because of the security reasons, so other users won't access your stats from outside and it's generated during the installation process.
remember this number, and try to access these sites with it:
Normaly, you should see generated visits, and stats.