Yes. He must tag the base.
The base runner can not advance on a foul ball, he must return to the base he was at before the foul ball was hit. A base runner may advance on a caught foul ball, but must tag up and advance only after the ball is touched by a defensive player. To answer your original question, yes, all base runners must return to the base they occupied prior to the foul, and must touch that base before play is continued.
Yes he does.
If the ball is in foul territory and hits a base runner in foul territory then it is a foul ball, so no he would not be out
If a baserunner is in foul ground and is hit by a batted ball, the ball is declared foul and all runners return to their previously occupied base, regardless of whether or not the runner that was hit was standing on the base.
No
yes, but runner must not advance to next base until ball is caught by defensive player.
If the runner is in fair territory then the runner is out. But if the ball hits the runner in foul territory, then it would just be a foul ball. If the ball hits the runner in fair territory, the runner is out but if the batter is safe to 1st then they would be safe.
NO. A runner cannot advance on a foul ball that is not "played" (i.e. if a foul fly ball is CAUGHT, the runner may tag up). A foul bunt on a 2 strike count is a dead ball out.
It depends. If a runner is in foul territory, and is hit with a batted ball, before the batted ball reaches 1B or 3B, then it's foul. But if a batted ball hits a runner in fair territory, before passing an infielder other than the pitcher, time is called, the ball is dead, and the runner is declared out for interference. The batter is awarded 1B, but all other runners must return to the base they previously occupied.
Yes, the ball is still considered foul if the a player catches it. They can be thrown out when trying to tag after the fly ball is caught.
As soon as the runner touches home plate, the run scores. The following runner has the right to third base. Either the base coach or the following runner on third base should tell the runner who scored that it was not a foul ball and he should go to the dugout. The ball is still live.
If the ball lands foul past first or third base the ball is foul regardless of where it rolls. If the ball lands foul before first/third base and rolls fair before first/third base, the ball is fair. If the ball lands foul before first/third base and rolls foul past first/third base, the ball is foul. If the ball is touched while it is in foul territory before reaching first or third base it is considered foul and vise versa if it is touched in fair territory. Otherwise whether it is fair or foul is determined by where the ball stops. ** if the ball hits any part of 1st or 3rd base it is a fair ball