Answer:
1) Yes, archetyoal characters are still relevant in today's society.
2) Yes, archetypal characters still accurately represent American culture.
Explanation:
An archetypal character is a character that exhibits or depicts universally recognised and accepted traits or qualities. Archetypal characters are epitomes or perfect examples of an idea, concept, person or thing.
The main actor/actress in a movie or drama script is often depicted as either a hero or a villain.
The Hero for example, starts out as a normal, everyday person who goes through and overcomes a very difficult and often painful situation/tragedy
Heroes/Villians are examples of archetypal characters because they are perfect examples of charcyters human beings can relate with in their everyday life.
Also, fathers/mothers are also examples of archetypal characters they convey or depict the image of the universally accepted concept of parenting.
So, YES, archetypal are still very relevant to today's cultures and society as people can still relate with and understand them.
2) The American culture today is hinged on icons and role models that people look up to in various fields of endeavours.
There are fashion icons, music icons, sports icons, movie icons, political icons etc in American culture today.
The word 'Icon' itself is an example of an archetype as it conveys the image of a successful person in his/her chosen field with sterling qualities that are worthy of emulation.
Therefore, archetypal characters do still accurately represent American culture.