Well as a fellow NJ driver (I took my test in Lodi), I can say for a fact, that even if you've been driving for a month you'd be able to pass. The combination of parking lot and no other cars to deal with make it pretty self explanatory that it's a nonevent.
The progression that our test went was well first off, I asked my guy to buckle up, he said he didn't have to because it was a private area, I just decided not to argue and started going. First thing, stop sign and a right turn, so long as you stop and pause for a bit, no problems. Then they have you parallel park between two orange traffic cones, with a broomstick & flag going through the middle to make them more than noticeable. The space wasn't what I'd say enormous, but more than enough space to park any mid-sized car. After that, back up in a straight line, and you're done. The whole thing takes 5 minutes.
You don't need to be perfect, but obviously try to be. If you get everything right but say are too close/rub against the curb, it doesn't matter because you've done a good enough job to establish yourself as competent.
Other than that, well just make sure you're prepared, have your permit & info in hand when the guy gets in the passenger seat, and do everything to win him over (within reason). But I'd say considering that you're a car person (if you post here, you're a car person) you'd have nothing to worry about.
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