Both "X and I" and "X and me" are correct. If it is the subject of a sentence, you use I: "The King and I are married." If it is the object, you use me: "He looked and the King and me." Just remove "the King and" from the sentence and see if it sounds right. "He looked at I" is not right but "He looked at me" is correct.
My mom is a Speech Therapist and would always correct us when we said "me and X" instead of "X and me", so I learned that one pretty quickly. Borrow vs. lend was another big one that we would mix up and she'd catch us: "Will you borrow me a pen?" "No, but I will lend you one." Then I found myself doing the same thing to someone about 10 years younger than me! I never mixed up teach and learn, but I am often surprised by hearing, "Can you learn me how to do it?"
