No there's no requirement for it to be capitalized.
Yes
In the English language, "French", and similar words for other countries, should be capitalized.
Yes, you should capitalize "About" in a title.
Yes, you should capitalize the C in Century.
No, you should not. You should only capitalize a word when it is at the start of a sentence or when it is a proper noun.
Yes, the term "Hispanic" should be capitalized when used in a sentence. It refers to people and cultures of Spanish-speaking countries or origins.
You should capitalize Colosseum when referring to the specific ancient Roman amphitheater in Rome.
Yes, you should capitalize "The Rotunda" as it is a specific place or location.
no
No
No
It should not be capitalized.