Situation A: Yes, the batter is out, the ball is dead, runners return to time of pitch bases.
Situation B: Yes, this is a hit batter award her 1st base, UNLESS she made no attempt to avoid being hit.
Situation C: Batter hit outside of batter's box by batted ball. If hit in fair territory, the batter is out and runners return to TOP bases; if hit in foul territory then it's just a foul ball unless batter intentionally hit the ball to prevent it from becoming fair. In that case, batter is out, runners return to TOP bases.
Hope this helps.
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