Yes, Greek should always be capitalized because it is aproper
nou
n.
No, you do not need to capitalize "bamboo forest" unless it is at the beginning of a sentence or part of a proper noun.
Yes, you should capitalize the first letter of each word in "Thank You" when writing a thank you card as it is a proper noun.
No, you do not need to capitalize 'adult' and 'children's' mental health unless they are part of a proper noun or title.
In the salutation "Good day to you," you only need to capitalize the first word, "Good."
No, you do not need to capitalize "special education teaching position" in a sentence unless it is at the beginning of the sentence or part of a title.
Capitalize only the G i n Greek but not the mythology. It should be Greek mythology.
You capitalize Apollo because it is a name.
Greek should always be capitalized.
Yes.
Just the word Greek, as you have done.
No
No, because it isnot a propernoun.
You capitalize Judge Smith. You do not need to capitalize retired as it is not part of his title.
You typically need only capitalize after sentence-ending punctuation, which a hyphen is not.
Unless "it's" is the first word, there is no need to capitalize.
No, you never need to capitalize alligator unless it is the first word of the sentence.
No.