|Contrary to what you thought:|
1. The stricker on the laptop is not a product key. It is a Certificate of Authenticity attesting that the Windows preinstalled on the laptop is a Genuine Windows operating system.
2. Windows has no builtin feature that would have enabled you to create Restoration/Installation DVD. The ability to create the DVD is through a license agreement between Microsoft and the OEM system builder. The agreement specified that the OEM system builder can only provide (1) the physical Restoration DVD or (2) the software creator to create DVD only once.