He is very irritating when chatting with each other, but when we are together, he is obedient to me. Does he really love me?

When talking to him about you, was there anyone else around him? In that case, he just wants to lose his temper in front of others. So I think it's probably a misunderstanding caused by different ways of getting along, thinking and demands. I think you should make it clear to him that you can't accept the way of chatting and let him pay attention. If he really just wants to save face in front of his friends, don't take him seriously. Give him some face, and then find other opportunities to get it back, such as giving it back to him in front of your friends as he told you. In short, if he is kind to you, but sometimes the tone of the chat is wrong, you should find out what is going on before you decide what to do. This situation can only be solved if you two communicate well, and no one else can give an answer.