Go home because if you are made immortal, you will keep making the same mistakes for all of eternity. You will watch your family and friends pass on, and you cannot be or go with them. At least going home makes the time you have with them all the more precious.
You're talking about Odysseus from "The Odyssesy" right? Odysseus chose to return to his home in Ithaca because his love for Penelope was so strong, and he missed his son that he never really got to know. It is definitely an opinion based question, and it is based off of people's values of family or power.
