Is there a free Joomla extension for sending published articles from the site to facebook wall? Something like this, but free: http://extensions.joomla.org/extensions/social-web/social-share/social-auto-publish/22591 Also, how can I set the content publishes on the FB page I created: eg. Facebook.com/my-site.com, and not on my personal profile FB page? I have a FB developer account and necessary API keys.
I am not sure but did you check AutoTweet NG ? As far as i know, that is the closest solution to what you are looking for. Note: I have zero affiliation with them.