Do,the paths in your code match the location of the file on the server?
The code posted above is not the code used on that page:
<param name="movie" value="Logos.swf">
while code on page has this path to the .swf:
<param name="movie" value="../raw images/flash/Logos.swf">
see the diff?
And as Martin pointed out, the path to the express install (which can install the flash pluggin) is most like wrong also. But, you really don't even need to use that. But you do need to get the path to Logos.swf right.
is the correct path by the way (the code you posted above...Not what's on the site).