The judicial branch
Following the law is a responsibility. A "right" is something that has been given to you, either by a government or by nature. A "responsibility" is something you're required to, or at least should, do.
The Government.
to establish laws and maintain order
Both!
Governments maintain order by establishing laws and regulations.
tight control over political expression
Intervenes in markets where there is a concentration of power
Maintain
The basic purpose of government is to maintain law and order in country. If there is no government, its means that there is no law and order. Government has different types of departments and ministries which look after their specific work.
To control its affairs and to maintain law and order in the society.
A stronger central government was necessary to maintain order
The art of government - to leave local self-government in place and provide provincial government to maintain internal order and external defence.