Quite frankly I don't know of any "poetry jobs" for anyone, teen or adult. Its not exactly a 40-hour a week salaried occupation. Unless maybe you work for Hallmark writing verses for greeting cards? I have no idea how someone goes about getting that job, or if they would hire a teen who lives in Chicago.
AFAIK, most poets are free-lancers who maybe put together a bunch of poems together into a book and try to find a publisher.