Mikeal Rogers' Request module is, as he states on the web site, "designed to be the simplest way possible to make http calls". If what you need is a simple way to interact with a remote REST API, this is an excellent way to go. If you need to handle HTTP requests at a lower level--for example, if you needed to listen for an HTTP upgrade request--you'll want to use Node's native HTTP module.
Your Facebook code is a good example of something that would be much simpler with the Request module! You can basically swap out the URL in your Google example with your Facebook Graph API URL and go from there.