Im having trouble getting VDL to authorize on a new computer.  When I access the Kontakt Player, it says that VDL has not been authorized and will be in Demo mode.  When I go to the service Center, it says that my products are activated on this desktop.  By the image that I have attached, does it look like VDL has actually been authorized?  I have tried uninstalling and reinstalling both products but continue to get the same message. 

It certainly looks activated from the Service Center end of things. Do you have Kontakt 5 installed? Normally, I think that'd show up in Service Center as well. On a more current operating systems, I'd definitely recommend Kontakt 5 and the VDL 2.5.5 library.

If you haven't already, the installer for Kontakt 5 Player can be downloaded from Native Instruments here:
http://www.native-instruments.com/en/products/komplete/samplers/kontakt-5-player/free-download/