Did Joseph Mary and Jesus have last names?

People didn't have surnames them. It was, however, common to use the patronymic (the father's name) or the town of origin in addition to the person's name. Jesus might have at time been called "" Y'shua bar Joseph (Jesus, son of Joseph) or "Jesus of Nazareth."

So, elsewhere in the New Testament, "Judas Iscariot" is "Judas of Kerioth"; "Mary Magdalene" is "Mary of Magdala"; and "Simon bar-Jona" is "Simon son of John."