One of the well known traits of the Kleze virus is the fact that it spoofs email headers and while the header maypoint to one system it may not be the system it came from Adairs. On email systems that have virus protection it also presented a problem of sending people a false you are infected email back because of the false headers. Your information is part correct but the headers from the kleze virus are false and since there is not an attachment with the emails I doubt it is Kleze. Provide info you did but email headers are very easy to spoof an advantage Kleze took into account, and exploited.