President Kennedy's response to the Cuban Missile Crisis was

overthrow the Soviet government from within the Kremlin
invite Castro to Washington D.C. for peace talks*
send CIA-led forces of Cuban exiles to invade Cuba and overthrow Castro

The Tet Offensive was a significant blow to the U.S. because
the communists proved their will and ability to keep fighting*
it sparked uprisings in South Vietnam
the South Vietnamese turned on the U.S. military

Well, I agree with your second answer but I do not remember Fidel at the White House..

https://www.foreignpolicyjournal.com/2010/08/16/kennedy-and-the-cuban-missile-crisis/

There was talk at the time of taking military measures, but the Bay of Pigs was a separate incident.

To find the correct answers to these questions, we can rely on historical knowledge and research.

For the response to the Cuban Missile Crisis, we need to evaluate the options provided:

1. Overthrow the Soviet government from within the Kremlin: This option seems highly unlikely as it would have required a major political revolution within the Soviet Union, which did not occur during the crisis.

2. Invite Castro to Washington D.C. for peace talks: This option aligns with President Kennedy's strategy during the Cuban Missile Crisis. He sought a diplomatic resolution to the crisis and avoided direct conflict with the Soviet Union. In fact, Kennedy secretly offered to remove U.S. missiles from Turkey in exchange for the removal of Soviet missiles from Cuba, a proposal that helped resolve the crisis peacefully.

3. Send CIA-led forces of Cuban exiles to invade Cuba and overthrow Castro: While the U.S. did consider a military option, it was not the chosen response. The Bay of Pigs invasion in 1961 was an earlier attempt to overthrow Castro, but it was not directly related to the Cuban Missile Crisis.

Therefore, the correct response to the Cuban Missile Crisis was President Kennedy's decision to invite Castro to Washington D.C. for peace talks.

Moving on to the Tet Offensive, we need to evaluate the options provided:

1. The communists proved their will and ability to keep fighting: This option accurately describes the significance of the Tet Offensive. The surprise attack by North Vietnamese and Viet Cong forces during the Lunar New Year in 1968 demonstrated their determination and ability to continue the fight against the U.S. and South Vietnamese forces despite heavy casualties.

2. It sparked uprisings in South Vietnam: While the Tet Offensive did generate some popular support for the Viet Cong among certain segments of the population, it did not result in widespread uprisings against the U.S. military or the South Vietnamese government.

3. The South Vietnamese turned on the U.S. military: This option is not accurate. The Tet Offensive did not lead to a situation where the South Vietnamese turned against the U.S. military.

Therefore, the correct answer is that the Tet Offensive was a significant blow to the U.S. because it proved the communists' will and ability to keep fighting.