How to link URL in flash media player to red5 server
I don't know this particular product, but based on what you are describing, I think this may help.  The player in flash probably wants the actual streaming media link.  When you go to the html page, you are accessing an HTML page that probably has an embedded player.  Flash streaming actually uses RTMP rather than HTTP, so you would need to find out what the RTMP URL is and provide that to the Flash video player.

Update: So to do a live stream, you need to use the rtmp link to the publishing point on your server.  You then need to use the publisher to send a feed to that publishing point.  Whatever name you provide in the publisher will be the name of the file that you need to feed to your viewer.  Everything gets relayed through the server.