I think you may be getting a tad confused.
I can only repeat that the Home Premium you mention refers to your Windows operating system, and that the product key on your computer case is for Windows and NOT Microsoft Office.
If your version of Office 2007 is a Home & Student version that was pre-installed on your computer, it is probably still a trial version, and if you don't have a product key for it, you will need to buy one to carry on using the software.
http://support.microsoft.com/ph/14019#tab3