Redirect https:// to https://www

you don't have to use an iRule in 11.4.x, you can use the centralized policy matching functionality that is replacing the httpclass. Here's a tmsh example of simple redirecting host to ssl:

ltm policy cpm.ssl_redirect {
    controls { forwarding }
    requires { http }
    rules {
        cpm.ssl_redirect.rule {
            actions {
                0 {
                    http-reply
                    redirect
                    location https://[HTTP::host][HTTP::uri]
                }
            }
            conditions {
                0 {
                    http-host
                    host
                    ends-with
                    values { hostname.net }
                }
            }
            ordinal 1
        }
    }
    strategy first-match
}