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Hi, I'm Mike G and I'll be assisting you. Unfortunately you won't be able to originate the single pole switch off the 3 way wiring. You'll need a hot and neutral from another source. Your 3 way only provides hots depending on the position of the lead switch and no neutral.
No, the hots at that switch are onlyhot depending on the position of the lead switch. They alternate, that's how a 3 way works.
They are used where the 120V feed powers both switch's, not on the second 3 way location.
Yes that is in the lead box not the location of the second 3 way box.