From the Federal perspective (the National Register of Historic Places is part of the National Park Service), a property owner can do whatever they want with their property as long as there are no Federal monies attached to the property.
I think you probably mean the metaphor of piercing eyes, it means someone who has a really intense look in their eyes. Sometimes it could be that the colour of their eyes is quite different, like a really icy blue colour. piercing eyes are eyes that can see straight through a person. SUPP is right.
Eye Pain (Definition) Pain in the eye (that is not due to injury) may be described as a burning, throbbing, aching, or stabbing sensation in or around the eye. It may also feel as if there is a foreign body in the eye. ...Read more. Dr. William Dieck Dr. Dieck.