EDIT 2:
Some pages have a strange redirection pattern. For example: http://www.mywebstore.com/customer/account/login/
sends me back to http://www.mywebstore.com/
.
But http://mywebstore.com/customer/account/login/
goes to https://mywebstore.com/customer/account/login/
witch is a 'Not possible to access this webpage' page.