well, Chinese usually don’t call “mom” in daily life as “妈妈”. They more often call them as “妈”. In this dialogue, it would be more natural if he say, “妈，是我，杰克” instead of “妈妈，是我，杰克”.
If someone gets promoted then you can say "恭喜高升” （congraduate on your promotion)
when someone moved to a new home then you can say "祝你乔迁大吉" ( I wish everything goes well on your moving into your new home)