What event was held on 27 May 2013 that featured one team that also competed in the League Cup and FA Cup?
2013–14 Crystal Palace F.C. season The 2013–14 season is Crystal Palace's first season back in the Premier League after 8 years. They clinched their place in the top tier with a 1–0 victory over Watford in the 2012–13 Championship Play Off Final. Palace spent eight seasons in the Championship after being relegated from the Premier League in the 2004–05 season. Crystal Palace also competed in the League Cup and the FA Cup.
2013–14 Chester F.C. season The 2013–14 season is Chester's fourth season of existence and their first season in the Conference. Along with competing in the Football Conference, the club also participated in the FA Cup, FA Trophy and Cheshire Senior Cup. The season covers the period from 1 July 2013 to 30 June 2014.