There is a problem with this group: "He is not a doctor, right? --Yes, (that's right. It is the case that he is a doctor.) --No, (that's not right. It isn't the case that he is a doctor.)"
He is not a doctor, right? -Yes. (That's right. He is not a doctor.) -No. (That's not right. He is a doctor.)
Using "right" is a fine way to create a tag question.