@Justin Xu,
No to the Black Town Car. They probably meant to say " A black Town Car". Lincoln (a subsidiary of Ford Motors) produces a car called the Town Car. Black is not the only color and should not be capitalized.
Stylin' or styling pretty much means going about in style, or fancy dress. It used to be circus jargon, meaning a hand/arm gesture drawing attention to one's self. It would be difficult to describe.