Mate, no offence here, but turbo Skyline + P Plates + Young Driver... you're easy pickings for the cops. They assume because you're young and driving a mildly powerful car that you're bound to be doing something wrong and that you won't have much clue as to the law. You think they'll go after a 50 year old as harshly as they'll go after you? Prob not.
I'm in the same boat, been driving mine since i was 17 too. Never had any trouble with the police, never been pulled over.
A similar thing happened to my mate. He was leaving one of our friends places and a cop runs out of his house (he was off duty) and accuses him of doing an 18 metre burnout. My mates car is an old Pulsar front wheel drive, and my mate was doing NOTHING wrong. His car was impounded and he has to appear in court.
His dad has taken photos of the scene (no tyre marks) taken witness statements from people in the street and gone to where the cop says he observed my friend doing it. Thing is you can't see the road from his house :S Will be interesting to see what happens, i bet my mate will get busted for it and he did nothing wrong.