LoglineCommander Una Chin-Riley faces court-martial along with possible imprisonment and dishonorable dismissal from Starfleet, and her defense is in the hands of a lawyer who’s also a childhood friend with whom she had a terrible falling out.
I don't think Spock was emotionless. For one, an "outburst" is emotional. That he noticed it just means he's aware of it and used to not do it. Then, whenever he spoke of Una on the trial was super emotional. Praising her is because he likes her, not because it is logical (in the setting).