A response to be added to the second definition...
If you do a whois search, you will find that faggotbook is registered to a private person located in Pennsylvania. This person has forwarded the website 'faggotbook.com' to the Facebook domain. The real facebook is located in Palo Alto, CA and this single person has no affiliation with Facebook, Inc.
Pajama casual is a term used when working from home and preparing for a video conference. All business above the waist and your pajama pants down below.
We have a Zoom meeting in a few minutes and I’ll probably go pajama casual.