Question

Hammurabi’s code brought a sense of fairness to his people and established order in society

Answer 1

Yes, it is true that Hammurabi's Code brought a sense of fairness to his people and established order in society, since it established criminal codes and standards of punishment for thieves, among other things. 

Answer 2

The Hammurabi´s Code integrates different subjects of the Law, i.e., not just one country but integrating traditions of various different people. The famous "eye for an eye" is actually a softening of previous behaviours, were private vengeance or blood feuds were common.