Yes, it should be "e-mail."
Email is correct. Some people still use e-mail, with a hyphen, but email without a hyphen is used much more often.
Email is the correct spelling with no hyphen. If you run it through the spell checker, email passes, but e-mail does not.
The term "cooperatively" does not require a hyphen as it is an adverb derived from the adjective "cooperative." Hyphenation is typically used to clarify meaning or connect words in specific contexts, but in this case, "cooperatively" is standard and grammatically correct without a hyphen.
Yes, it is grammatically correct to say "here is a copy of the email between Sally and me" because "me" is the appropriate pronoun in that context as it functions as the object of the preposition "between."
"3" should be written out as a word, as it is less than ten, and I suggest a hyphen, making it "three-pillow orthopnea."
Yes, though to make it flow more smoothly, I would write "I have sent an email requesting that you be added to the list."
Yes, 'for free', is grammatically correct.
"Not like that" can be grammatically correct, depending on the context.
Yes! That is grammatically correct!
This is not grammatically correct. The correct form is 'you do not know', or the abbreviated 'you don't know'.
'What a drunkard you are' is a grammatically correct English sentence.
"That was wrong" is a grammatically correct sentence.