Final answer:
Mill's two social obligations are to act to promote the greatest happiness and to avoid causing harm to others, which correspond to the rights to individual freedom and societal protection.
Step-by-step explanation:
John Stuart Mill's two social obligations and rights can be understood in the context of his utilitarian philosophy and the harm principle. Firstly, within a utilitarian framework, individuals must act in ways that promote the greatest happiness for the greatest number. This includes personal decisions as well as social and political conduct. Secondly, according to Mill's harm principle, individuals have the right to freedom of action unless their actions cause harm to others. Hence, society has a corresponding obligation to not interfere with an individual's liberty except to prevent harm to others. These principles reflect Mill's commitment to individual liberty and social progress.