That's a long ride, if you plan on staying somewhere in NC to rest your head that would be a good idea! Getting out of the car after being in it that long makes people land-sick from going 65-75 mph for so long.
I drove straight from NJ to laredo, TX and back 4 times which is 1,908 miles one way. Yes.. 36 hour drive straight. Alone, none the less so my advice for you is do the speed limit (out of state tickets suck.)
and.. don't forget women have to pee every 30 minutes so don't let them have any water unless they are really freaking out
Haha, I'd wish you luck but then it would seem like I think your car won't make it, so have a safe and pleasant trip instead!