From time to time, I notice that my GMAIL logs out before its supposed 2 week set time.

A month ago, my PC ran into BSOD twice. So I upgraded hard drives, etc. However, this week I found out online that malware Alureon caused a lot of recent BSOD and was named a critical threat to Microsoft Windows exploit for 32 bit computers.

In any case, my question is: Could hacked passwords spoof the victim's IP address and log in to their email account, so that the victim would hardly noticed that their email was logged in elsewhere because GMAIL's IP details indicate it? ... Is this a plausible situation?