I see that you are running both the web server and Lightstreamer Server on the same host, though by using different hostnames.
Then, you should ensure that Lightstreamer Server is accessed through the proper port,
which may not be port 80, which is usually devoted to the web server.
As long as you use the provided Silverlight Demo,
you can configure the demo to use the correct port through the
initparams argument in index.html.
For instance, if Lightstreamer Server is configured for port 8080, you should extend the initparams value to
server-url=http://push.tws.com:8080.