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i think cold war

Please

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1) I was told I could use "At the showcase day Thursday 6th". But would "On the showcase day Thursday 6th" be wrong? Which one is better? I hear both ways, but personally I say On the showcase day. 2) Do you use "Cold War" or "Cold War's" in this sentence: "This month's agreement has seemingly reduced the risks of a nuclear conflict on the same scale as that of the Cold War/Cold War's." I would use Cold War. I don´t recall hearing of it in the plural form. Even if plural, you would drop the apostrophe Cold Wars.