Brutus is saying “Hey!!! I’m your friend so you can trust me” which is a classic case of Ethos, saying you can trust someone because they are in a position that you should trust them for.
Cassius, keep calm. We know each other well, so you don't have to shout your grievances. Let's not argue in front of our armies, which should see nothing but love between us. Tell them to move away. Then, in my tent, you can fully explain your grievances, and I’ll listen.”
Ethos
Saying that Brutus hurts him leans into pathos because oh no!!! You don’t want you hurt people’s feelings. Saying that someone's words hurt is leaning to the emotional side of an argument.
Pathos
“I did not. The man who brought my answer back to you was a fool. Brutus, you’ve broken my heart. A friend should put up with his friend’s weaknesses, but you make mine seem larger than they are.”
Antony is comparing Lepidus to his horse and how while he has his uses he is a fool who is steered in the correct directions by others. This uses logos since its saying that logically that's how Lepidus works, that he follows orders well.
Logos
“I control his movements. And, to some degree, Lepidus is nothing more than that. He has to be taught and trained and told what to do.”