Thank you for sending over the login. I took a look. For some reason the featured post and featured page widgets are not saving. If you add them to the home bottom sidebar, save them and then leave the widgets screen, when you come back they will not be there.
The only other site I’m aware of that is Russian and uses Epic is http://russianbaptistfellowship.com which does use the featured page widget on their home page. The only major difference I can see between the two sites is their site is running WordPress 3.8.1. It looks like your site is running 3.5.1. I’m not certain it’s version related, but it would be worth a shot to update your version of WordPress and see if it will begin working again.
You can do that by going to your WordPress dashboard and clicking on updates. The update for WordPress will be at the top.
If that doesn’t do it, let me know and we’ll dig further. I didn’t want to update it myself in case there was a reason you were running the earlier version.
Let me know what you turn up,
Bill