The term Apostolic Fathers is a seventeenth-century scholarly designation for a small group of writings believed to have been written by bishops and others who were thought to have known the apostles...
Can't happen unless there's some step-relationship here, such as a man marrying his step-mother, the wife of his father. That still makes you your father's son in any case, but now you have become...
Whether "your father and I" or "your father and me" is the correct construction depends entirely on how it is used in the sentence. "Your father and I" would be correct only where the use of "I"...