No, because it is
n
ot a proper
n
ou
n.
Yes, you should always capitalize a proper adjective.
Yes, "I am" is typically capitalized because "I" is a pronoun and should always be capitalized in English.
It is generally recommended to capitalize proper nouns like "Tai Chi" as it is a specific name for a martial art practice.
Yes, the pronoun "your" should be capitalized when it is used in a title, such as "Your Honor." This follows standard capitalization rules for titles in English.
You should capitalize "American" when referring to the nationality or citizenship of someone from the United States, as in "American citizen." However, you do not capitalize it when referring to general concepts or things relating to America, such as "the American culture."
You do if you are referring to the city of Champagne. Or anything with the name Champagne. But a bottle of champagne you do not capitalize the c.
Yes it should always be capitalized.
Greek should always be capitalized.
Yes. You should capitalize all religions, as they are proper nouns.
Yes, you should always capitalize a proper adjective.
Sambuca should be chilled.
Yes, you always capitalize "Cuban."
Yes, European should always be capitalized.
Russian is a proper noun therefore it should always be capitalized.
The pronoun "I" should always be capitalized.
Words like a, an, and, or.. You should always capitalize "the" in any part of the title such as, The Dog That Killed The Unicorn. Or something.
Yes, "I am" is typically capitalized because "I" is a pronoun and should always be capitalized in English.