Glad to hear we're making progress
Your last question about what URL to use is likely the answer to all your questions. You should be using the 2nd link with the domain included. I think you don't even want the events/events part in there.. just http://www.website.com{EventsLink}
Test a few different things, but most importantanly, open the HTML of the page and look for fb:comments. Then, check that the URL specified there is correct. The articles will work even if the URL is wrong, but you want it to be right so that the link posted to Facebook actually brings the user to the right page.
Once that's done, the domain may make the moderation work. That's keyed off of the domain setup for your Application, and without a domain in the box, Facebook may be confused. If that's not the problem though, let us know. If it's working on articles, it should be pretty easy to get it working on the events as well. It's not that you're using the tag that's causing the problem.
Keep us posted on progress,
Alex