Office 2007 key was purchased from the MS website (to activate a pre-installed trial version) and has been running fine on the machine for years. There are 17 installed updates for Office 2007 on the machine, including SP3. Also, if I try to browse to "update.microsoft.com" on my Win 7 laptop, which successfully updated Office and Win 7 yesterday, I get redirected to the same useless page.
Anyway, I found a solution. Someone in another forum who couldn't get Windows Update to update all MS products in windows 7 said they solved their problem by installing Silverlight, which has a box (checked by default) on the last screen enable Micosoft Update. My Win 8 laptop had an old version of Silverlight, and when I installed the latest, I got the same option and now Microsoft Update is working.