Redirection Loop and SSL setup issue

Initially we created blog on a separate url then started moving to subdirectory. This initial site was on HTTP now we have two issues at wordpress level.
1) Redirection loop issue: After moving to subdirectory redirection loop is coming for WP-ADMIN when site is running on http url. As soon as I start using https all pages start giving redirection loop. SSL certificates are installed at elb level in AWS.
2) HTTPS issue: If somehow site works on https then mixed content issue comes for static contents
Please help us in resolving these issues.