1) Witchfires are psychic shooting attacks that count as firing assault weapons, just with the addition of manifesting the power, expending the warp charge point, perils, etc. So yea, battle focus is legal afterwards. Witchfires are pg 69 in BRB.
2) I'm not sure exactly as I don't know the full rule entry, but I would imagine to be only applicable in a certain phase it has to say so in the rule, specifically. Otherwise, blessings generally last until the next turn (meaning they persist in movement, shooting, and assault). Blessings are Pg 68 in BRB.
Hope that helps!
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