I just experienced a similar issue after a Jetpack plugin update. I believe the gprofiles.js file is related to Gravatar profiles. I deactivated the Jetpack plugin and refreshed my page. The countdown showed up. I then reactivated Jetpack, refreshed, and it was still there. Hope this helps.
Actually, I think network error is due to the doubling double quotes. Also, my Flash content shows up but it looks like the content is being rendered at the top of the page too.
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.
Try changing the z-index of the submenu (i.e., .main-navigation li ul) to a value much higher, like 10 or even 9999.