Were Kim Tae-yeon and Jo Kwon in a girl group and boy band respectively?
yes
Jo Kwon
Jo Kwon (Hangul: 조권, hanja: 趙權; born on August 28, 1989) is a South Korean singer, MC, actor, entertainer and leader of South Korean boy band 2AM.
Kim Tae-yeon
Kim Tae-yeon (born March 9, 1989), referred to as Taeyeon, is a South Korean singer.
 She had been a trainee at S.M. Entertainment's Starlight Academy during her middle school years before debuting as a member of the agency's girl group, Girls' Generation, in 2007.
 Since then, she has risen to prominence due to the group's success on the Asian music scene and further participated in the agency's projects Girls' Generation-TTS and SM the Ballad.
 Aside from group activities, she has also recorded songs for various television dramas and movies.
All My Love (TV series)
All My Love () is a South Korean sitcom starring Kim Kap-soo, Park Mi-sun, Jo Kwon, Ga-in, Yoon Doo-joon, Jun Tae-soo and Yoon Seung-ah.
 It began broadcasting on November 8, 2010 on MBC and its final episode aired on September 16, 2011. 2AM (band)
2AM (Korean: 투에이엠 ) was a South Korean boy group, that consisted of Jo Kwon, Lee Changmin, Lim Seulong and Jeong Jinwoon.
 It was one of the two subgroups split from the eleven-member boy band One Day, the other being 2PM.
 They officially debuted on July 11, 2008, on KBS's "Music Bank", performing the song "This Song".
 They won their first Mutizen at Inkigayo on February 7, 2010, with "Can't Let You Go Even If I Die". Gain (singer)
Son Ga-in (born September 20, 1987), better known mononymously as Gain, is a South Korean singer, actress and entertainer.
 She is best known as a member of the South Korean girl group Brown Eyed Girls and for her appearances alongside Jo Kwon from 2AM for TV shows "We Got Married" and "All My Love".
 As a solo artist she has released six EPs. Rain (Taeyeon song)
"Rain" is a song by South Korean singer Kim Tae-yeon, a member of the South Korean girl group Girls' Generation.
 It was released digitally by S.M. Entertainment on February 3, 2016. Queen of the Office
Queen of the Office (; lit.
 "God of the Workplace") is a 2013 South Korean television series starring Kim Hye-soo, Oh Ji-ho, Jung Yu-mi, Lee Hee-joon, Jeon Hye-bin, and Jo Kwon.
 It aired on KBS2 from April 1 to May 21, 2013 on Mondays and Tuesdays at 22:00 for 16 episodes.
 Kim later won the Daesang (or "Grand Prize"), the highest honor at the 2013 KBS Drama Awards. Kim Tae-yeon discography
Kim Tae-yeon, better known by the mononym Taeyeon, is a South Korean singer.
 Her discography consists of one studio album, two extended plays (EPs), twenty singles (including four as featured artist), and three promotional singles.
 She debuted as a member of South Korean girl group Girls' Generation in August 2007 and initially gained some popularity as a singer upon recording soundtrack songs "If" for "Hong Gil Dong" and "Can You Hear Me" for "Beethoven Virus" (2008).
 She subsequently established herself as one of the most renowned vocalist on the South Korean music scene with further soundtrack recordings, notably "I Love You" for "" (2010), "Missing You like Crazy" for "The King 2 Hearts", "Closer" for "To the Beautiful You" (2012), and "And One" for "That Winter, the Wind Blows" (2013), all of which managed to enter the top ten of South Korea's Gaon Digital Chart.
 Apart from soundtrack recordings, Taeyeon has also recorded duets with other artists, most notably "Like a Star" with The One and "Different" with Kim Bum-soo, which peaked at numbers one and two on the Gaon Digital Chart, respectively. Nagging (song)
"Nagging" () is a song recorded by South Korean singers IU and Lim Seulong.
 Written by Kim Eana and composed by , the pop ballad duet was used as one of the theme songs for the second season of the variety show, "We Got Married", along with "We Fell in Love" by Jo Kwon and Ga-in. Gaon Music Chart
The Gaon Music Chart tabulates the relative weekly popularity of songs or albums in South Korea.
 It is compiled by the Korea Music Content Industry Association and sponsored by South Korea's Ministry of Culture, Sports and Tourism, with an aim to create a national chart for South Korea similar to the "Billboard" charts of the United States and the Oricon charts of Japan.
 It started tracking sales since the beginning of 2010.
 It was officially launched in February 2010 with a launching ceremony held on 23 February 2010 at the Westin Chosun hotel in Seoul.
 The launch also included a small awarding ceremony, which awarded girl group Girls' Generation with top artist of January and boy band Super Junior with best album of 2009.
 Meanwhile, Hit single "We Fell In Love", performed by Jo Kwon of 2AM and Ga-in of Brown Eyed Girls, took the title of best weekly mobile ringtone.