Looking for books on How the limbic system works and it role in non-verbal behavior
not sure if you are still looking, but I have two recommendations for you.  


"Limbic systems for emotion and for memory, but no single limbic system" is a really long, but really great article on the topic.  You can find that online here:  https://www.sciencedirect.com/science/article/pii/S0010945213003110?via%3Dihub
It's been a while since I've read this one, but the book Synaptic Self:  How Our Brains Become Who We Are is a good read on this subject.  It's about the brain as a whole, but focuses a lot on the limbic system and amygdala (it's author, Joseph LeDoux, did much of the pioneering work on the amygdala).  It is from 1996, so the science isn't super up to date, but I still think it's a good read if you're just curious about the brain and limbic system.