Blog pages not working properly

My blog is https://www.partnershiprussia.com/internationalchristianblog, and I created two different categories for posts. One is titled “Uncategorized Posts” and it is for text posts only. The other is “Must See Videos” and it is for posting videos within the posts only. When I load the site from the web, both categories appear on the same opening page together, but they should not. When I select a category option, they separate to their respective pages, but the videos loose the video image and only show a link.

The second problem is, when the site initially loads, all of my widgets are correct, but when I select the category pages, my “Our Friends” widget in the right sidebar looses it’s images in both category views.

This has got me crazy and I need some help!

Randy