Android 4.1.2 (Jelly Bean) was released in 2012. While it was revolutionary for its time with "Project Butter" for smooth UI, modern apps demand more RAM and newer API levels. The standard Facebook app requires Android 5.0 (Lollipop) or higher.
When searching for a for Jelly Bean, you need to look beyond graphics. "High quality" in this context means: Facebook Lite Apk Android 4.1.2 High Quality
Do not download arm64-v8a – your Jelly Bean phone can't run it. Android 4
: Engineered specifically for 2G conditions and areas with unstable internet. High-Quality Features in a Compact Package Facebook Lite Apk Android 4.1.2 High Quality