The article is a bit misleading on #2. The original unfinished pyramid and an eye in a triangle "surrounded by a glory" (otherwise known as the Eye of Providence) are featured on the reverse side of the Great Seal of the United States. The pyramid signifies strength and duration: The Eye over it and the motto allude to the many signal interpositions of providence in favor of the American cause. The date underneath and the words under it signify the beginning of the new American era commencing from that date, according to the official description.The seal is a sort of official stamp that's used to imprint the front side image (The eagle clutching a sheaf of 13 arrows and some sort of obsolete plant) onto impotent official type documents. The seal was created in 1782.
In 1935, while trying to pull the country out of the Great Depression, FDR and company decided to use both the front and the reverse of the seal on the back of the new one dollar bill. By that point in time the Eye, symbolizing the holy trinity and dating to at least the 16th century, and pyramid had been adopted into modern freemasonry and were an appealing choice for Frank "Skull and Bones" Roosevelt and his resurgent "New Deal" Democratic party for their enduring and providential symbolism. As such, they are very much a symbol of a "new deal" and a new order or way of conducting financial business (not going into that here). At least, in 1935 they were.