> 1) I don't think so; strength imbalance maybe, but not power imbalance. In fact, when it comes to sex and intimate relationships, women are usually more trained in socializing and have the upper hand in choosing a mate, and are strongly favoured by the courts [1] and the police [2].

This is completely not accurate. Women are more likely to be murdered by their partners, men have better outcomes in family court when they pursue parental rights, men overwhelmingly commit sexual assaults (against all genders), and men do not experience sexual violence at the hands of police as often as women.

Bot of your citations are totally irrelevant to the issue of power imbalance in private settings.

Yes, they're only relevant in situations when other parties are called upon to resolve a conflict that started in a private setting.