The latest Facebook app requires Android 5.0+. So for 4.2.2, you need an that still works well.
, which is specifically designed to support older Android versions as far back as Android 2.3 Why the Standard Facebook App Won't Work Minimum Requirements
You can download older versions of the standard app from reputable archives. For example, Facebook version 267.1.0.46.120 is known to support Android 4.1+ . Where to Download Safely
No. If you tap “Check for Updates,” it will direct you to the Play Store, which will show “Incompatible.” Stick with the version you manually installed.