The correct answer is option 2, Charles T. Metcalfe. Charles T. Metcalfe was a British official who was sent to Lahore to negotiate the Treaty of Amritsar with Ranjit Singh. The Treaty of Amritsar was signed on 16 April 1809 between the British East India Company and Ranjit Singh, the Sikh ruler of the Punjab. The treaty established a friendship between the two parties and outlined the territorial boundaries of the Sikh Empire. It also allowed the British to maintain a diplomatic presence in Lahore, the capital of the Sikh Empire. Charles T. Metcalfe played a crucial role in negotiating the terms of the treaty and ensuring a peaceful agreement between the British and Ranjit Singh. He later served as the Governor-General of India and was known for his administrative and diplomatic skills.