Should country be capitalized in the sentence: On Monday,September e, our country will celebrate Labor Day?

No, it shouldn't.

http://grammar.ccc.commnet.edu/grammar/capitals.htm

Yes, "country" should be capitalized in the sentence: "On Monday, September e, our country will celebrate Labor Day."

When it comes to capitalizing nouns like "country," there are a few general rules to follow. In this case, "country" is being used in a specific sense to refer to a particular nation or nation-state, so it should be capitalized.

However, if "country" was used in a general sense to refer to any nation or country, then it would be written in lowercase. For example, "I love to travel and explore different countries."

It's always a good idea to consult a style guide or grammar resource if you're unsure about capitalization rules or have specific style requirements to follow.