I would like to use CF as a CDN for my entire site, including static and dynamic content.

I have been using CF for static content for a while and I am very happy with the results. I am now doing POC of putting the web server completely behind CF. For the dynamic content I created a new distribution and set the origin to be my web server. Right now I'm looking to test the solution, so I have the web server on the original domain and the CF distribution on the amazon domain.

This works with the exception of HTTPS urls and POST requests.

For HTTPS requests, I see the requests are forwarded to the original site domain for now, but how will CF handle them when I move the distribution to the www cname? What configuration changes should I make so that CF forwards HTTPS requests to the origin?

For POST requests, I want the post to be made to the origin server. Can I set this up in CF?

Finally, the site has membership. Can I configure CF to pull all content from the origin if the user is logged in?

Sorry for the long question. I'm a little lost and documentation for dynamic CF is still kind of scarce. Thank you!