Hi,
Again none of the header code is being added to your site, though it is being parsed as the debug code is being generated!. Are there any extra modules/components/plugins different to the test webspace? Was the other accordion menu present?
It is possible that there is an incompatibility between scripts on your site and it would be interesting to know if anything different is running between the two.
Also are they both running on the same web server configuration?
As a temporary measure please can you try installing the attached plugin, it will need enabling and can be found under the system plugins, also set it to be the last to run. The plugin basically forces the javascript code to be added to the rendered template after all processing has been done and places it just before the </head> tag. The scripts are also possible added to the administration section as well. If you can test with this enabled and please let me know whether it works.
It is frustrating trying to work out why it isn't working....
Many Thanks