1- Commander of American forces in Vietnam --- WESTMORELAND
William Childs Westmoreland was a general of the US Army who became famous as commander-in-chief of the US military operations of the Vietnam War between 1964 and 1968.
2- Resolution giving President Johnson authority to retaliate militarily in the Vietnam War --- GULF OF TONKIN
The Gulf of Tonkin Resolution was a law issued by the Congress of the United States of America on August 7, 1964, in which President Lyndon B. Johnson was authorized to act comprehensively against the Democratic Republic of Vietnam, which he accused of aggression against US ships in the Gulf of Tonkin, from where the resolution takes its name.
3- Allies of North Vietnam --- VIETCONG
The Viet Cong was an organization formed in 1960 by the guerrillas who supported the socialist government of HoChi Minh, which received support from the USSR.
4- President who sent soldiers to South Vietnam as advisors --- KENNEDY
Kennedy continued what Eisenhower had begun, using limited military force to combat the HoChi Minh troops. Proclaiming a war against the spread of communism, he established programs to help the unstable government of South Vietnam by providing political, economic and military assistance, which included sending 16,000 soldiers as military advisers increasing the presence to 60,000 men.
5- Accused Democrats of a no-win policy in Vietnam --- GOLDWATER
Barry Goldwater came to urge the use of a nuclear bomb in the Vietnam War, proposing victory at any cost in this war.