Hello,
I had a look at one of your pages which came through only with a link:
https://liveinallstonbrightonma.com/2013/07/open-house-on-7142013-at-25-berkeley-street-watertown-ma-02472/
I passed it through the Facebook Debugger, here:
https://developers.facebook.com/tools/debug/og/object?q=http%3A%2F%2Fliveinallstonbrightonma.com%2F2013%2F07%2Fopen-house-on-7142013-at-25-berkeley-street-watertown-ma-02472%2F
It complained of multiple og:url values. I looked at the source of the page, and I saw Jetpack’s og:meta tags, as well as other og:tags that are duplicates. I don not know what is outputting those tags; maybe they are hard-coded in your theme? Have a look at youe theme’s header.php file to see if you find them there. If not, maybe you have another plugin installed that is outputting those tags? If you do, try deactivating that plugin and then publishing a post again, to see if it fixes the situation. Alternatively, you can run a page through the debugger again, here:
https://developers.facebook.com/tools/debug
If you have no errors, then it should Publicize fine.
Let me know how it turns out!