No the Shepherd were shepherds that were present at the time of the birth of jesus. and the thre wise men (or kings from the east as they were also reffered to did not come into the picture until Jesus was over a year old). The chrismas story was compressed a litle too make it more interesting.
No. The poor shepherds belong in Luke's Gospel, where they visited Jesus shortly before the family returned from Bethlehem to Nazareth. They were typical of Luke's appeal to the poor in society. There is no scope in
Luke for the wise men or for the flight to Egypt.
The wise men (actually
magi, eastern priests) belong in Matthew's Gospel, where they brought expensive gifts for Jesus, shortly before the family fled south to Egypt and remained there until the death of King Herod.