iRule URI to Pool before iRule with HTTP to HTTP Redirect

The problem you are having is both rules are processing on the HTTP_Request and therefore both end up making a decision. The first decides to use the non-ssl pool. The second is a redirect which is much more immediate to the request never goes to the pool. You need logic around your second irule to say if it isn't the non-ssl site then redirect to SSL. Or you could combine both rules as this:

when HTTP_REQUEST {
  switch [string tolower [HTTP::host]] {    
    "home-nonssl.mysite.com" { 
      pool MYSITE_NON-SSL_Pool-80
    }
    "default" {
      HTTP::redirect "https://[HTTP::host][HTTP::uri]"
    }
  }
}