If it is in the beginning of a sentence, yes.
The word evolution does not need to be capitalized.
No, coral does not need to be capitalized.
No need to capitalize, it is a non unique word - a common noun
No, 'government contract' doesn't require to be capitalized.
Yes. US Government is capitalized.
No, circa does not need to be capitalized.
No, it doesn't need to be capitalized.
No, it shouldn't be capitalized.
No, kinetic energy doesn't need to be capitalized.
No. Queries do not need to be capitalized.
it does not need to be capitilized.
Yes, acronyms are typically capitalized.