In the academic, Marxist sense, yes. But I was using the term "working class" rather as a synonym for minimum wage, blue collar workers, or in this case teenage

In the academic, Marxist sense, yes. But I was using the term "working class" rather as a synonym for minimum wage, blue collar workers, or in this case teenagers whose parents have those jobs. The point really is that middle class kids (like you were) can get jobs (like you did), whereas poor kids often can't.