The role of United Nations was to mediate in disputes and promote international co-operation.
Nationalism did play an important role in the cold war. There are certain individuals who offered to work as spies for their countries.
John Addams ended the cold war.
Winning it
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The American people characterizes the role of America's possession of the atomic bomb in the origins of the Cold War.
Your question is incomplete -- who or what is "they"
Lenin didn't do anything during the cold war. The Cold War started after WWII and Lenin died before that in 1924.
Each played a major role in ending the Cold War
Stalin had a tendency to maintain the status quo in the Cold War. He was not willing to negotiate or offer compromises to the US.
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Paraguay was nominally a US ally, although it never played any significant role in the Cold War.