I have an eshop isell24.gr when you first visit my eshop you are connecting to http without autoswitch on SSL/https and when you press the logo up to the left the shop turns on the https
I have made all the changes on settings and the problem still the same.
You have to manually set redirect all HTTP traffic to HTTPS in your .htaccess file
Something like that https://stackoverflow.com/a/3239775
That was very helpfull...Thank you!! :)