older versions of Office or Word will work in Windows 7. If you experience problems you can run the app in compatibility mode. In another words, you can tell Windows 7 to run the app as if you were on Windoes XP or Window Vista to ensure it works. With Word though there should be no problem.
The big change from Word 2002 to a newer version is the use of the new format .docx, but after you do the updates Word 2002 will be able to open .docx
Install and enjoy, if you have any problems shoot me a PM here at Goodreads and Ill do what I can to help