Answer: The holes in your lawn could be caused by squirrels, moles, voles, cicadas and even prairie dogs. I'm at a loss to suggest what, or how to control. I think your best option is to photgraph the holes (they may offer clues) and take the photo to your local cooperative extension office or Master Gardener Clinic. I'm not sure which county you are in so here's the NC webpage with offices listed by county: http://www.ces.ncsu.edu/index.php?page=countycenters
Click on your county and you'll find the nearest office. Helpful folks there can help you identify the critters and can offer control suggestions. Best wishes with your lawn!
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