So sad, I'm back already. Clearing the cookies/cache worked, but the issue returned right away. So, after playing around, I have to assume it has something to do with me. I can click LIKE, and it works. It populates my facebook wall properly. I can unLIKE, and that works. I can click LIKE/unLIKE 100 times, and there isn't an issue. But, the second I refresh the page, or leave it and return, two new things pop up under the LIKE button: Admin Page and Insights. After they show up, all is lost. The error message will come up if I click LIKE/unLIKE again.
The only other thing that pops up after a refresh is my facebook image, as I have it set that way it the back end. I tested it with that option off, and it didn't make a difference.
So, I have to assume something is glitchy with JUST me on my website(which is a relief), because it seems that it is related to my facebook account, and my ability to see the insights/Admin page. So Alex, you don't have this same issue with your site? Do you get the option to view Admin Page and Insights?
(Now, with all that said, I'm obviously no expert. I could just be blowing smoke out of my arse with that analysis)