I took a look at this for you and I was able to see where the layout isn't loading.
However I was able to see some errors on your website in the console so I would recommend that you temporarily disable all your non-toolset plugins and try again.
I tried to disable all other plugins, but the problem persisted. So I created whole new homepage, which can be edited by layout, but there is a view (Listing categories) which does not want to load on frontend even it is visible in backend in Layout editor (see Row 5).
New homepage: hidden link
Old homepage: hidden link
Layouts for new homepage: hidden link
I found out that there is one bug. If you click on right arrow button on slider (top 5 posts on hidden link) the slider will disappear. At the original homepage hidden link it works without problems.