Hello again emptyvessal,
When you go back to your front page you are likely clicking on one of the links that is linked using https instead of http which is why you are seeing https instead of http in the address bar.
I don't think it's really necessary for the front page of your site to be through https. I would be more concerned about where users have to input personal/private information (like the log in page or checkout page). Keep in mind that anytime you are calling a page through https that any files linked from that page also need to be called through https or it breaks https.
For instance, I saw this on at lest one of your pages you were calling through https:
<style type="text/css">@import url("http://fonts.googleapis.com/css?family=Just+Another+Hand");</style>
If it's a plugin causing that, you will want to check with the plugins developer on the best way to fix that.
Also, did you change your home url and site url to use HTTPS instead of HTTP (I find editing the wp-config.php file to be the easiest)?
Would either of these plugins help?
Hope this helps and good luck!