For 1,2 see the documentation 
For 5 - the calendar component is in the roadmap 
For 10 - no, but there are many libraries that support it - myfaces tomahawk, jboss seam ui, woodstock components lib...
For 11 - not for now, but you can very easy create your own using a4j:poll
As was told - Rich Faces supports many other JSF libraries.. So you can use ajax and components you need from Rich faces and the components that absent - from some other library.