Based on the search results, Prakash Padukone won the All England Badminton Tournament in 1980 and was the runner-up in 1981. Pullela Gopichand won the tournament in 2001. Saina Nehwal was the runner-up in 2015. Lakshya Sen was the runner-up in 2022. However, P.V. Sindhu and Parupalli Kashyap have not won or been runners-up in the All England Badminton Tournament. Therefore, the correct set of players who have either won or secured the runner-up position in the All England Badminton Tournament is Pullela Gopichand, Saina Nehwal, and Lakshya Sen, which corresponds to option 2.