I think you have managed to solve it yourself, the issue was actually because of the difference between your location and your server's location so there are delays of publishing articles, and then if the module can't find any articles to show it will throw that error and stop the site. There are two ways to fix it:
1. Set time offset in the module, if you are at EU with GMT +0, but your server is at USA with GMT -6, the offset value should be 6
2. In your articles, set "Start publishing" to a value in the past, could be one day earlier.
http://awesomescreenshot.com/0581gx89e2I've tested with your site and both worked.