Yeah, I'm 19 going on 20 as well, no job, no car, still dependent on my parents. I HATE having to ask them to buy me stuff, and I hate that they need to drive me everywhere.
That's weird that your mom doesn't want you to have a job, I say get one anyways. I don't have one because I don't have any transportation and there aren't any jobs that I can just walk to, not to mention every place that I've applied at hasn't called me back, so.
"Great spirits have always encountered violent opposition from mediocre minds." -Albert Einstein