You’re using a Static Front Page, which by definition, is for displaying a static page on the your site’s home page. This is why your blog posts are not showing up on the front page. They do show up in your “Blog” page and in the homepage slider though.
You can also set Graphene’s “Homepage Panes” to show the latest posts, so your latest entries will be displayed below your static front page content.
Looks like you’re using the Endurance Page Cache plugin that is causing the issue. That plugin is activated automatically by Bluehost. Try to find if there’s any way to turn it off. If not, your best bet is to contact Bluehost support and let them know about the issue.
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