Spoilers ahead!
First novel: The Trisolarans did not contact earth first. It was the other way round.
Second novel: Calling the conflict between humans and Trisolarans a "complex strategic game" is a bit of a stretch. Also, the "water drops" do not disrupt ecosystems. I am not sure whether "face-bearers" is an accurate translation. I've only read the English version.
Third novel: Luo Yi does not hold the key to the survival of the Trisolarans and there were no "micro-black holes" racing towards earth. Trisolarans were also not shown colonizing other worlds.
I am also not sure whether Luo Ji faced his "personal struggle and psychological turmoil" in this novel or in an earlier novel. He certainly was most certain of his role at the end. Even the Trisolarians judged him at over 92 % deterrent rate.
He's like God's perfect sociopath. He wobbles between total indifference to his mission and interplanetary murder-suicide, and the only things that seem to really get to him are a stomachache and being ghosted by his wife.