Okay, let's rule out Java. Go to
http://zone.msn.com/en/zuma/default
and see if you can play the game. If you can, then Java is fine. If you can't, something is interfering with your Java.
Java problems?
1 - Double check Norton (it's not always obvious). Close Internet Explorer. Disable the security center or firewall (whatever it is). On the Start Menu right click IE, go to internet properties. Clear History, cookies and Temp Int Files (including offline content). Open IE and try the game above. If it works, try FoD, if not try pressing CTRL-F5 on the screen where either game fails. Does it work? If so, Norton is the problem. Sometimes this clears it, otherwise Norton has to be configured (or disabled).
2 - Check Add/Remove Programs for what is installed. Make sure that all installed free programs are UP TO DATE - stuff like Adobe, Flash, Shockwave. If necessary update these programs. Old version can cause conflicts.
Not Java?
Check point 2 above anyway. In Internet Options make sure that Privacy is set to Medium and that Content Adviser is not running. On the Advanced tab, restore defaults. I doubt these are the cause, but rule out the obvious.
You say you have a new computer? Have you run Windows Update? Patch your PC to the latest version. Are you using Windows XP?