Here are the answers to your questions:
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True - The main difference between the Maya and the Aztec civilizations was that the Aztecs had a centralized government, while the Maya had city-states with their own rulers.
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True - The Han dynasty brought prosperity to China by requiring merit-based appointments and creating a more efficient civil service.
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True - Buddhist principles did encourage Asoka to lead by example, which significantly influenced society and culture in the Maurya Empire under his rule.
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True - The shogun held the most power in feudal society in Japan, with the emperor being more of a figurehead.
If you have further questions or need clarification, feel free to ask!