Basically, if you are good at something, do it, rather than trying to do things that you are not good at.
in The King ***
Yes
No.
yes
No. It's not necessary.
No.
Two examples: A well known entertainment entrepreneur staged the concert for free. Bill Gates is an example of an entrepreneur as he was able to capitalise on his strengths and vision in order to build Microsoft into a multinational company.
You do, because they are proper nouns.
If a person is referring to the monarchy system of government, it isn't necessary to capitalise it. However, if the person is referring to the British Monarchy itself, then it is proper to capitalise it.
Greek Mythology or Greek Myth.
When you are referring to the planet Earth.At the beginning of a sentence.
You can capitalise it if you want.