Yes you can tag up and advance on a caught foul ball.
No, it is optionalaction. The base runner can tag up anytime a fly ball is hit out of the infield. They can't tag up on a fly ball hit in the infield. They also can tag up on a foul ball hit anywhere on the field but they don't have to.
If a foul ball is not caught in the air, the ball is dead, so there would be no tag up opportunity. If it is caught in the air, the runners can tag up and advance at their own risk.
Yes. Runners may tag up and attempt to advance on any fly ball, fair or foul.
An uncaught foul ball is dead. If a foul ball is caught, runners can steal, but have the same tag up responsibilities as a fair caught ball.
Yes, you may tag up and advance at your own risk.
No. But it is an RBI if a runner scores on the play.But if he doesn't tag up he's out if they throw it to the base he was at.
You can tag up on any popup or flyball no matter where it is caught, even if it is caught in foul territory. Now it might not be the smartest thing to tag up on a ball popped up to the pitcher though, but you can do it if you want
Yes. A foul fly ball is no different than a fair fly ball. The runner at third can tag up and try for home after the catch and the defense can try to throw the runner out at third if she is not paying attention.
Yes. A runner may tagup and attempt to advance after any fly ball is caught, regardless of whether it is fair or foul.