Yes. Like poles repel, and opposite poles attract. In electrostatics, like charges repel, and opposite charges attract.
neither, but it is closer to the north pole
No it is very far from the north pole. It's 4995.08 km (3103.798 mi.) from the north pole. (I checked on Google Earth)
No. The North Pole is a single geographic point and not a state of anything. Alaska does not have any states.
The Arctic Ocean.