It does not need to have a hyphen! :)
When I take part in a round table, the event is two words. When used attributively, it is hyphenated, eg I attended a round-table discussion. It is a modifier, two words joined together with the hyphen.
No
It's not a word in the dictionary, so yes, use the hyphen.
I do not believe that multitasking is supposed to have a hyphen.
You typically need only capitalize after sentence-ending punctuation, which a hyphen is not.
no
No.
No
no
No.
Yes, in-home does need a hyphen. It's two words put together to form a word for a different concept.