Hey - most likely it's with your connection string. I haven't done that tutorial, but I'm guessing that it uses the simple-connect? If so, in the line where it asks you to add the connection string in the component parameters, it probably said something like:
rtmp:/my_video_app
If you upload to a server, it won't work because that connection is assuming the flash comm. server is on the same machine. It fcs is running on your home machine, simply change it to:
rtmp://myhomeip/my_video_app
note that there are 2 slashes after the rtmp: in the second string.