During the viceroyship of John Lawrence, the High Courts were established in the presidential cities of Calcutta, Madras, and Bombay. High Courts serve as the highest judicial authority in their respective regions and have the power to hear appeals and exercise original jurisdiction over specific matters. Option 1, Warren Hastings, is incorrect since the establishment of High Courts did not occur during his viceroyship. Option 2, Lord Cornwallis, is also incorrect as he served as Governor-General and not viceroy. Option 4, Lord Dalhousie, is incorrect as the creation of High Courts happened before his tenure as Viceroy. Therefore, the correct answer is option 3, John Lawrence.