Update names of WebSite projects for consistency

Project/Assembly names are all like 'FeatureWebSite' root namespaces
updated accordingly. This makes processing all of the functional tests and
deploying the web sites much simpler.
Update WebAPI shim functional tests to use a header for payload

The issue is that responses to HEAD cannot have a body. When running these
tests on a real server, they break because the server throws when you try
to write to the body.
Update precompilation to use the library manager instead of relative
paths.

This website is written to assume that $pwd is always in the functional
tests directory when it's launched. This works fine for the functional
tests, but causes issues in many other contexts, including VS.
update comment about precompilation (cr feedback)
Fix an inadvertent 204 in activator tests

On a web server, this test ends up giving back a 204 because of the MVC
behavior when an action is declared to return void. The fix is to use
EmptyResult.