I’m having the same issue and in Firebug I’m seeing a network error in the console because of the code snippet showing up. Also, the <object> parameters that I enter in the short code are doubling up on double quotes — <object height=””800″” width=””100%”” </object>.
You may be able to turn off the smiley face in the JetPack settings (configure WordPress.com Stats). There should be a checkbox for that.