Why is a run WinZip button not working?
The problem you encountered is directly related to the version of the WinZip used to created those archives. If the Run WinZip is not working, then you can simply open the archive right-clicking it and choose Open with WinZip. It will open the archive and give you the option to extract it.
There is also a knowledge base for this: http://kb.winzip.com/kb/entry/197/