Q #15: With a count of 1-2 and 1 out, the batter swing and misses at a high fastball that hits him in the shoulder. The ball deflects to the screen and the runner from third base easily advances to cross home plate. Is this is hit batsman? A strikeout? Does the run count? You make the call.
A #15:: As soon as the batter is hit by a pitch, the ball is dead. So, no runners may advance on the play. Send the runner back to third base. If a batter swings and misses, it is a strike. The batter is out on strikes. This is a dead ball strike. We now have two outs and a runner on third base. Play ball.