When I click on the trek-lite.com logo or "home" button to take me to the home page, it takes me to a secure/https version of the site where I am no longer logged in. In fact any https/secure version of the site seems to results in me being logged out. If I type in trek-lite.com and go there, google chrome warns me the site isn't secure but I stay logged in.
I seem to remember this happening a while ago then it suddenly stopped, so i figured you'd fixed it. It is indeed weird.
Both standard and SSL based site is working fine for me. It sounds like you have a cookie problem in that it's treating https as different site to the http. Try clearing your browser cache and reload browser and try again. Also change your bookmark to the https version and just login there when you visit instead of http.
Seems to have worked now that I've cleared the cache and cookies I did try logging into the https version before and would immediately be logged out on refresh. But clearing cache and cookies seems to have done it.