Not familiar with a DMV inspection in North Carolina, but I've gone through a couple here in California and they absolutely check more than one location. I showed them the dash VIN, door sticker and fender tag on all of my cars that have been inspected, and on my '71 Satellite they actually asked to see a partial VIN stamp too because the fender tag is removable.
Door sticker usually gets you through in most cases.
VIN locations on a Dart Sport should be on radiator support top edge, package tray between speaker hole and window channel. If it's a fold down rear seat, could be package tray or trunk lip.
Yup, right on with the partial VIN locations. Engine and transmission too if they match, but they probably won't want to crawl under the car to see those.