IE 7 security warnings, from static pages to cart

I am having a problem that I have not seen on the forum. Windows is upgrading everyone to IE 7.0 including me. I am now receiving a security certificate warning, not displayed in IE 6.0, when clicking HTML links to main page of ZC from static on site pages, but not from static pages from a description of the product ( on html pages)to the coresponding product page on ZC. What can I do to correct this problem?
Thanks,
editor59nbrorg

Have you an URL where we can see what is happening?

I should have thought to add the URLs to my first post.
HtML site URL http://www.dcmus.com/index.html

Zen Cart Main page is htttp://dcmus.com/Catelog/index.php

I receive this warning message when using links on site, to the cart, I have checked with MSDN and many users of IE 7.0 are having similar problems. Do not need to be flagged as a phishing site, as we are legit.
Thanks,
editor59nbrorg

The warning DOES show up with IE6. This is happening because you created the link to the store as https://dcmus.com/Catalog/index.php. Try creating it as http://dcmus.com/Catalog/index.php and the warning should go away.

It isn't just IE that is yelling and this is one of the reasons that trying to use Zen Cart as "just a buy now" back end is NOT recommended. In FireFox, from the home page clicked a guitar manufacturer, from that static page clicked a guitar and got the following warning.