I've managed to fix it, thankfully.
Here's a quick how to:
First thing, uninstall Burnrights, or get rid of any instances that you may of tried to install. Then right click the Burnrights installer exe, select "Properties", "Compatability", then select the "Compatability mode" as "Run this program in compatability mode for:" "Windows XP" and click "Apply" and "OK".
Then simply install as normal and the Nero Burnrights icon should appear in the Control Panel. Remember that you have to restart after any Burnrights changes.
The best way to set Burnrights up I found was to setup the Nero user group and then just assign users to this.
I think Ahead should post something on there site about this as it would be really helpful for people with Server 2003 and I expect we are not the only ones with this problem.
I hope this helps.