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.
1. sharp or severe in effect; intense: acute pain. 2. extremely great or serious: an acute shortage of oil. 3. (of disease) brief and severe (disting. from chronic). 4. penetrating in intellect, insight, or perception. 5. sensitive even to slight details or impressions: acute eyesight. 6. sharp at the end; pointed.