As I understand it, you need more information about the politics of these five people. I will briefly discuss the political importance of each.
John F. Kennedy was elected president in 1960 and served from 1961 until he was assassinated in 1963. He was a Democrat. Perhaps the most important thing about Kennedy is that he was the first Roman Catholic president. At that time, this was a breakthrough as many Americans were suspicious of Catholics. Kennedy is most famous for his youth and charisma and the “Camelot” atmosphere that arose around him and his family.
Lyndon Johnson became president when Kennedy was killed. He was also a Democrat. He is best known for two things. First, he helped pass a great deal of fairly liberal legislation. These included the Civil Rights Act of 1964, the Voting Rights Act of 1965, and the policies of the Great Society. Second, he is famous for having led the US as it became more deeply involved in the Vietnam War. This began with the passage of the Gulf of Tonkin Resolution in 1964.
Richard Nixon was a Republican who lost to Kennedy in the 1960 and then won the 1968 election. In the 1960s, he is most famous for running as the representative of the “Silent Majority.” Nixon said that he was running for the sake of the majority of Americans who were not protesting the Vietnam War, who were not part of the Counterculture, and who were generally traditional in their views. It was with Nixon that the South started to vote Republican.
Martin Luther King, Jr. was a famous civil rights leader. He is most famous for his “I Have A Dream” speech, which was delivered in 1963. He was the main leader of the Civil Rights Movement. He was assassinated in 1968.
Betty Friedan was an author who wrote the book The Feminine Mystique. This helped to bring about the Women’s Liberation Movement. She was also a cofounder and the first president of the National Organization for Women. In these ways, she was one of the most important actors in the women’s movement that began in the 1960s.