Does "look" have a meaning of asking for agreement in this case?
Actually "look" is being used as an exclamation here. Specifically, when we use "look" in this way, it is to call attention to what the speaker is going to say. So he wants her to pay attention to the fact that he doesn't want to fight or hurt her. Ex: Look, you need to pay attention. Ex: Look, I don't think this relationship is going to work.