If you had record rainfall during construction, and cranked the heat up soon after, that's all common in the south during your first winter unfortunately. Not always on the same scale tho. The wood gets saturated during framing, then it gets sheeted on the exterior and insulated and drywall over that. Where is the moisture trapped? Yep, and it'll affect drywall before the actual wall sheeting which has another layer of exterior finish to hold it rigid. Doors not closing correctly? Again, not a biggie most likely. They just need a small adjustment. I don't know of any friends in new construction homes that HAVEN'T experienced this. DH says all these problems are probably just from wood drying out with no breathing space.
Can you tell I've heard all this discussion a thousand times? Will be watching to see what your inspector comes up with...