Statement I is incorrect because Panchayats at the intermediate level do not exist in all states; they are absent in Nagaland, Meghalaya, and Mizoram, and in all Union Territories except Delhi. Statement II is incorrect because the minimum age for membership in Panchayats is 21 years, not 30 years. Statement III is incorrect because the Finance Commission to review the financial position of Panchayats is constituted by the Governor, not the Chief Minister. Therefore, statements I and II are incorrect.