You missed Philia and Storge.
Eros, Philos, and Agape are found in the NT.
Add Storge to them and you have the four Greek Loves.
Thank you, wanted to keep it simple first pass and then expand, teacher logic ...
Thanks!
God Bless
I know Wiki is not always the best but this is a good easy description including your insights.
https://en.wikipedia.org/wiki/The_Four_Loves