The fact that you have added a notebook to a home network has ABSOLUTELY NOTHING to do with the fact that Outlook on the existing PC suddenly cannot access links in email. It's just pure co-incidence.
Does the error message ""This operation has been cancelled due to restrictions in effect on this computer. Please contact your system administrator." appear?
If so then a google for that error would have given you the instant solution.
This operation has been cancelled due to restrictions