I'll be honest that I'm unaware of the rules specific to the league, but generally speaking, a batter-runner advances on a walk only when he is forced to do so by a trailing batter-runner. If a runner chooses to advance when not forced to do so, he is allowed, but is liable for being tagged out as if he were stealing a base.
batter is out, runners do not advance
If a batter hits the pitch, either fair or foul, with all of one or both feet completely out of the batter's box, he's out. The ball is dead, and no runners can advance.
The runner is awarded one base
If a runner is touched by a fair batted ball, in fair territory, before passing a fielder, it's interference, the ball is dead, the runner is Out, and all other runners must return to the base occupied at the time of the pitch, unless forced to advance due to the batter being awarded 1B on the play.
Baseball rules provide that a runner is out when he is struck by a batted ball (provided the ball was not touched by a fielder first). All other runners return to the base they occupied at the time of the pitch. However, the batter is awarded first base and all runners that have to advance because of this advance. The Official Baseball Rules are 5.09(f) and 7.08(f).
If the pitcher throws four balls to one batter, it means that the batter would get a free base. However, the ball is not dead. For example, if the fourth ball was a wild pitch, other runners could advance, including the runner who had just walked.
Batter is charged with a strike, ball is dead (like a time out). No runner can advance.
Not unless the next batter gets a walk as well. Runners can only move on base hits or walks.
On a dropped third strike, if there's a runner on first and less than 2 outs than the batter is automatically retired, whether or not the runner from first was stealing on the pitch. If there are 2 out, the batter can try to reach base, and the runner from first would be forced to try to advance to second. As on any other pitch, a runner can always try to advance, but would only be credited with a stolen base if he left the bag when the pitch was thrown, not after it was dropped.
If a fair batted ball touches a runner in fair territory, it's interference, the runner is Out, the batter is awarded a hit and given 1B, and all runners must return to the bases they occupied at the time of the pitch, unless forced to advance by the batter being awarded 1B.
That depends on whether a runner is forced to vacate a base when a ground ball is hit. If there is a runner on first base and a ground ball is hit, the runner is forced to run to second base because the batter is running to first base. If there is also a runner on second base, that runner is forced to run to third because the runner from first is running to second. If a runner is not forced to run, they do not have to. If there are runners on first base and third base and a ground ball is hit, the runner at first is forced to run to second because the batter is running to first. But the runner on third is not forced to run because no runner is running to third base from second base.
A pinch runner must be inserted for him at first base. Then, the batter that was hit cannot return, and the pinch runner must stay in the game (unless he's replaced by someone else, in which case the runner can't return).