Hi Judy,
I think that’s because you’re using the “add media” button inside the editor of a post, which shows you images inside the post body, instead of using the featured image for the post, which will give you the thumbnail in your home page and should appear replacing the blue square for the single post view.
You should see a box on the side for inserting featured images. You can use that for images to appear in home page and wherever your theme shows them, and add other images inside the text editor that will show only when you read the full post.
Another tip, I see videos are not showing (for example in RISE KOMBUCHA SPARKLING LIVING GINGER WHITE TEA) instead you see text like this: <frame width=”420″ height=”315″ src=”https://www.youtube.com/embed/G9JHCgirHWU” frameborder=”0″ allowfullscreen></iframe>
try reading this codex page to see how to correctly include youtube player in a post.
You’re using WordPress 3.7.1 so should be enough if you just copy the URL in youtube and paste it into the text editor where you want your video to appear.
I hope this may help you, feel free to ask if something I wrote is not clear
Marcello