The second option is the most accurate:
Political Rule: Both societies were ruled by emperors with godlike statuses.
Coinage: Both societies used round disks made from precious metals, such as silver, to pay for goods and services.
Infrastructure: Both societies had extensive road and canal networks.
This response correctly identifies the political systems, the nature of the coinage, and the infrastructure systems shared by the Roman Empire and the Han Dynasty during the specified time period. The Roman Empire used coins made of precious metals, which is a more accurate statement than the use of less-precious metals. Additionally, both empires did indeed develop extensive networks of roads and canals, which played crucial roles in trade and administration.