Possibly the new jersey turnpike?

Quarry? No.
Bigger than a Paul? I'm not sure. They are not easy to compare, and my very rough calculations have too large a margin of error to be sure. Plus the boundaries of the answer on the card are not completely clear. I suspect I might be able to make a case either way.
A border? No.
In the USA? Yes.
Counting the cars on the NJT? No. (but *two waves of applause*)

To do with transport? Is that distinct from Rosie's earlier question? :-) I say again, in a technical sense it is certainly to do with transport, though that's not what comes particularly to mind.
A city boundary? Is that distinct from Chalky's earlier question? :-) No.

A rubbish dump? No.
Partly roofed? Again, that might depend partly on interpretation, but the best and least confusing answer is No. Or I could just say that, if it is, you're doing very well. *audience laughter*
Geographic feature reredux. By the Wikipedia definition this definitely is a (man-made) geographical feature.

Underground? No.

Coastal? Nothing essentially coastal about it as such, but it is located very close to the coast.

Route 66? No.
West Coast? No.

In the south? No.
Statue of Liberty? No. (Begins with P, remember)
Doughnut Hole? No. (I have no idea what you are referring to. Although I think I might actually have set "A doughnut hole" as an answer in this game some time back.)

From the great state of N—? Yes.