1. Correct - People can directly approach the Supreme Court in case of a violation of Fundamental Rights by the State.
2. Incorrect - Arbitrary levy and/or collection of tax without the authority of law is not necessarily a violation of Fundamental Rights. Such matters typically go to the High Court under Article 226 rather than the Supreme Court under Article 32.
3. Incorrect - Restriction on free movement of trade, commerce, and intercourse is a matter of Constitutional interpretation and is generally not a Fundamental Right for which the Supreme Court can be directly approached under Article 32.
4. Correct - Certain impositions of restrictions by the state on freedom of religion could be a violation of Fundamental Rights, and therefore people can approach the Supreme Court.
5. Incorrect - Imposition of taxes by the state for the promotion of culture is generally not considered a violation of Fundamental Rights and hence would not be a matter for direct approach to the Supreme Court under Article 32

?So, two out of the five statements are correct.