"What comprises FEIN?"

Your own Company's Federal Employer ID Number, such as is in the file for purposes of sending and running Payroll.

"I use a chrome browser that remembers passwords for me...can't QB's be configured to work like that?"

This topic is from over 2 years ago. Yes, This Has Changed. You now see the Preferences for "keep me logged in" To as many as 90 days' interval.

"I'm the only one using this computer and it's a HOME office.  I'm guessing there are a lot of users like me.  @qbteachmt"

Yes, I manage Lots of files for other people, as well as my own. We are all suffering from Internet and other required security changes.