Can the state impose any kind of restrictions on these rights? If not, why not?
Yes, the state can impose restrictions on these rights. The context states that the state may impose reasonable restrictions on certain rights in the interests of sovereignty and integrity of India, security of the State, friendly relations with foreign States, public order, decency or morality, contempt of court, defamation or incitement to an offence. For example, the state can restrict the right to freely move within the territory of India if it's necessary for maintaining law and order. Similarly, the state can impose restrictions on practicing a profession or carrying out any occupation, trade or business in the interests of public order or morality.