No.
Yes
The word evolution does not need to be capitalized.
No, coral does not need to be capitalized.
No, it shouldn't be capitalized.
No, circa does not need to be capitalized.
No, it doesn't need to be capitalized.
No, kinetic energy doesn't need to be capitalized.
Occupations are not typically capitalized unless they are used as part of a title before a name (e.g., President Obama). Otherwise, they are usually written in lowercase (e.g., teacher, doctor).
You need a jersey supplied by the team, A volleyball (mabey) You need the correct shoes (for indoor) You need a team
No, the word "region" does not need to be capitalized in a sentence unless it is the first word of the sentence or part of a proper noun (e.g. "Pacific Northwest region").
No, the word "revivalist" does not need to be capitalized unless it is at the beginning of a sentence or part of a proper noun.
Yes, Tae Kwon Do should be capitalized as it is a proper noun referring to a specific martial art.
it does not need to be capitilized.