Whatever the correct interpretation of Micah 5:2 may be, the author of Matthew thought that it required the Messiah to be born in Bethlehem. So he found a way to make that happen, as did the author of Luke, probably for the same reason. They achieved it in different ways, however. Matthew's gospel has Joseph and Mary living in a house in Bethlehem when Mary becomes pregnant; Luke has them living in Nazareth and traveling Bethlehem because of a census. Neither Mark nor John mention anything about a birth in Bethlehem, although the author of the gospel of John was aware that he was some expected the Messiah to be born there (John 7:41-42). 2:5-6
Only one more thing will happen before the end comes: the gospel will be preached throughout the world (14). Well, that and the abomination of desolations will stand in the holy place (15), many false Christs and false prophets will show great signs and wonders (24), the sun and moon will be darkened and the stars will fall (29), the sign of the son of Man will appear in the sky, everyone on earth will mourn, and then, finally, the great and powerful son of Man will come in all his glory (30).
Oh, and all these things will happen within the lifespan of Jesus' contemporaries (34).