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Turn order is determined by position: on the first turn it's by Vampire Speed, on later turns the active-side Vampire furthest from the Castle goes first; region and path priorities (Forest→Plains→Mountains→Cemetery, and Road→Railroad→Boat) and proximity to the Labyrinth break ties (Rulebook p.4).

Yes — you must activate all discard and draw effects first, then calculate your total Speed from cards and spend it to move and/or hunt (Rulebook p.4).

You are never forced to spend all your Speed, but you cannot move after you have triggered a board effect or after you have started to hunt; any unspent Speed is lost at end of turn (Rulebook p.4).

You may push Vampires one at a time (starting with the one on top) to adjacent spaces when you land on an occupied space; pushed Vampires don't push others and you cannot push Vampires in the Cemetery or the Castle (Rulebook p.5).

You immediately score each Human's Victory Points when you take them and also gain a region bonus (+1 per Human on the Plains, +2 per Human in the Forest); you must pay the Hunt Track's Speed cost and take all cards on the chosen space (Rulebook p.5).

At end of turn you flip your Vampire, discard all non-Permanent cards from your playing area, resolve end-of-turn effects, then draw 3 cards (reshuffle discard into deck if needed); after all players act you also draw Hunt cards and advance the Moon as part of turn preparation (Rulebook p.6).