I could only recommend an introductory college course since that's where I picked up the basics. Hopefully someone else has better resources. An important thing about sociology is understanding the different approaches there are to things and the language those approaches use.
I want you to understand something: what you're asking about is much more basic than critical theory. You're talking about the sociological theory of race. I'd avoid trying to understand critical theory without some more basic sociology building blocks because you frankly won't understand what they're talking about otherwise.
Don't worry about it. If you were really wrong someone would chomp at the bit to reply to you about how wrong you are. If they're not, you either have an unpopular or popular enough to be spam, opinion.
Oh for sure. We already had complex social relationships that involved lying when we were only homo erectus and likely incapable of speech and were hunting full grown elephants and hippopotami(yeah, simple stone tools against those monsters required some serious teamwork). I think that creating a social face for those you DON'T know, though, had to come about once we were in a situation where there were people we interacted with that we didn't know. Hunter/gatherer societies generally still operated with too much of a cohesion for you to truly be "fake".