I passed one of your posts through Facebook's debugger:
It mentions an error. This error is likely what's preventing your site from being Publicized.
Digging into the error, I see 2 sets of og tags in your site; one by All in One SEO Pack, and one by another source (it may be hard-coded in your theme). Once you've fixed this and you have no other errors on the Debugger, try Publicizing again. If it still doesn't work, let me know.