Han Solo and Chewbacca fit many archetypes. This is because in each archetypes they describe a role a character plays in the story, and they tend to overlap when describing someone. Han Solo and Chewbacca have archetypes in mythic elements, journey, and character.
Han Solo and Chewbacca mythic element archetype is the trickster/holy full. They give us these impression because he only takes Ben and Luke to Alderaan for money and is only convinced to save Princess Leia for more money. He does shed this element when he comes back to save the day by saving Luke. In the first scene we meet them they show the two worlds archetypes, because we get a change from Luke's life with his aunt and uncle to the grimy underground