Coming Soon (a post) displays on its own page (correctly) at http://www.dreamingamerican.com/coming-soon/
Each post has its own standalone page where it appears separately from the list of posts.
The navigation label on the left hand side of your site that says "The Feature Film" links to http://www.dreamingamerican.com/blog/ where one post labeled Home is displayed. If I click on the "Home" title (to check to see what that post's link will be, to see if there's something up with permalinks), it links back to the the front page of the site at http://www.dreamingamerican.com/ rather than to an actual post.
1. Check your Settings -> Reading and make sure that where it says "Blog displays at most __ posts" it doesn't say "0" or "1".
2. Either way, it seems like your theme may be coded incorrectly since the empty blog post that is showing at http://www.dreamingamerican.com/blog/shows "Home" as the title and links to the home page.
The way you can check to see if it's your theme is to switch back to the default theme for a few minutes so you can see if the posts then show on the blog page. If so, then the problem is your theme.
You say you have a lot of plugins on your site. Every one of them introduces the possibility of creating these problems (the theme issues may even be caused by a plugin). If switching the theme back to the default theme doesn't make the post appear, then it's probably a plugin. At that point, the way to figure out which one it is is to turn off all of the plugins, then turn them back on one at a time and check the site after each one to see which one causes the problem.
Volunteers in this forum aren't able to do this for you; we can only point you to the directions on how to do it. Once you know what's causing the problem, we can potentially tell you how to fix it.
If you want someone to do the checking and fixing for you, you would be better off hiring someone to take care of this for you.