Wrong facebook picture

When you share one of your posts, Facebook crawls your site and searches for information to be displayed with it. You can help Facebook by defining Open Graph meta tags. Jetpack can automatically include these tags. However, it looks like your site is including them already, causing duplicates.

Could you please check to see if your theme or another plugin is adding these tags? Then, when you find the culprit, you can remove or disable the duplicate Open Graph meta tags, and that should resolve the issue when a post is Publicized to Facebook.