Strangley Intermittant Internet Connection to Mozilla & IE

I have recently had my laptop networked to the main computer at home. While at home only (I also use the laptop at work without problems), when I go to search the internet on either Mozilla or IE I can only load certain sites. I think all these sites are in my Internet Security as Trusted Sites.

Google and Yahoo search engine pages display results but will not allow me to go to any link on the page. Weird! Since I did not install this network and I am not skilled enough to look at the Advanced Options or much else in this laptop to see if there is something out of place, I don't want to make any changes.

I read the threads to see if someone else had a similar problem but did not see any definative actions to take.