I have to agree with you that this is most likely something that is being drawn on by ads, however my opinion is that it is not FaceBook here (unless you have a bad client side certificate which needs to be cleaned up locally). I say this because the error in an of itself is a certificate error which typically indicates that there is a mismatch between what your computer (client side) expects the certificate to be and what is actually on the site itself (server side).
The ads are generated via some type of script whether it is jscript (Java) or other programming language. If there is a problem they will generate an error message similar to what you have in your post, however that should not create a client/server certificate error.
I actually have some of those messages as well, but not specific to FB, many of them are the results of googletag(s) being undefined, yet do not generate the errors.
With all this said there are a couple of things that I would recommend.
- use an AdBlocker (this will help quite a bit)
- un-install and re-install Java (it would be interesting to know what version everyone is running) as I am on Java 6 - update 37 right now and this could be a problem because v7 - update 21 is out there and I will give this a try.
- clear cookies, content, and history (as in clear everything out of your browser that could create issues here)
I'm not a programmer, so I could have some if this mis-stated and if so I apologize, just trying to help everyone out here.