I am unsure in the scorebook, however the runner is out and the batter is oddly awarded a base hit.
Absolutely not -- a runner can (and invariable does) leave the base even before the pitcher throws the ball to the batter! That's called leading off. A batter can attempt to run to the next base without the batter hitting it -- ie, stealing a base. PERHAPS what you're asking about is what happens if the runner leaves the base before the ball is hit AND the batter hits the ball AND the ball is caught by a fielder before it hits the ground AND the ball is then thrown to the base where the runner was AND the ball is held there before the runner returns to that base. If ALL of those things happen, then the runner is out.
no, but the base runner is out if he is struck by a BATTED ball (but he isn't out if he touches a ball thrown by a fielder)
If the runner at second is out by being forced out, the batter is not given a base hit .... the play is ruled the same as if the ball was hit to an infielder that threw to second to force the runner. If the runner at second is out by being tagged because they rounded the base too far, the batter is given a base hit.
If a batted ball hits a runner in fair territory, the runner is out, and the batter is credited with a single and takes 1st base
If the batter is tagged out before he reaches first base it is still considered a force out and the runner cannot score, however if the batter crosses first base safely and then is tagged out, the run counts if the third base runner crosses home plate before the batter is tagged out.
I assume you mean if you're score keeping and not saying "How would the batter who becomes a runner be able to score a run on the play." If you're referring to score keeping I believe you would just note that the batter reach first base as a result of the fielders choice by 3Bman. FC - 5.
When the batter is standing on the plate.
the runner is out not the hitter but if he doesn't reach base before the ball is thrown to the base he would be out too.
The ball is dead and all runner go back there base the batter is called out ...
The act of hitting a runner with the ball does not generally qualify in and of itself as an out. If the base runner is running legally (e.g. does not interfere), then there is no out, and the ball is live. However, if the batter/runner is running illegally, such as running outside of the 3 foot runner's lane between home and first base, the batter/runner will be out if hit by the catcher's throw. If he is going straight to the base, the runner is not out.
If the runner who started on 3rd base is the one thrown out at home, no it is not a hit. It is ruled a fielder's choice