What are these nail pops that keep popping up in my house?
Those are called "nail pops". They are the fasteners (nails mostly, but occasionally screws) that have been pushed through the drywall surface due to either forces exerted on the drywall panel or  movement from the framing piece they attached too. Unless you notice multiple nail pops it shouldn't be a problem. To repair gently hammer (the nail) or turn (the screw) the wayward fastener so that it is under the drywall surface. It would be wise to install additional screws above and below (by 2-3 inches) any nail that has become loose. Cut away any broken and jagged paper and spackle as needed.