Okay, I shouldn't have given you that url with https as that is not an https page. if you go to dXXXXmed.com (again, replace x's with o's) and go to log in, that is where I am having the problem.
Ok Still lots of links with http: instead of https:
Looks like a lot of them are rewritten
Try turning OFF your URL re-writer and see if that makes a difference?
Your re-writer may need some more work...