The Hungarian Revolution, The Taiwan Strait Crisis and the Viet Nam conflict all had activity during the Eisenhower administration. Don't know that I would describe all three as an expansion of the Cold War. Hungary and Taiwan were grossly imbalanced struggles between strong communist governments and their own people. Viet Nam became a proxy war between the US and China but only US military advisors were there during the Eisenhower years. The US became involved in the fighting in later administrations.
History can seldom be explained by multiple choice.