yes
There would be no advantage to a fielder kicking a batted ball. If a ball is in fair territory when touched by a fielder, it will remain a fair ball until play is stopped. If a ball is in play when touched by a fielder in any way, it remains in play.
If the fielder has fielded a ball and has it in his possesion yes. If the fielder is in the path of the base and does not have the ball, the answer is no New answer: The fielder may enter the base path to field a BATTED ball and the runner must avoid contact whether the fielder has possession or not. The above answer is correct for a thrown ball only. (ie. the third baseman cannot position himself on the basepath while waiting for a throw from left field while the runner is advancing from 1st to 3rd on a hit.
It's a play where in the fielder throws the ball to 1st base to get the batter-runner out. This play is always done when there are no runners on base.
No, the base is concidered in-play and still a live ball. It is the same thing as the ball bouncing off a fielder or a rock.
That would be considered a fielder's choice. Answers.com defines a fielder's choice as: "A play made on a ground ball in which the fielder chooses to put out an advancing base runner, thus allowing the batter to reach first base safely." Even though, in your question, the runner was not put out at home the play would be scored a fielder's choice and the batter would be credited with an RBI.
On an offensive standpoint, I'll say if the center fielder grounds out while there is at least one base runner directly at the next bag. On defense, if the center fielder catches the ball with their glove and runs to a base in which the base runner did not "tag up" or keep their foot on the bag while they were waiting for the ball to be caught. If that's considered touching the ball, then I'm not sure :)
If the fielder falls into the stands or the dugout after catching the foul, the ball is dead and runners are awarded base from the base they occupied at the time of the pitch.
Yes, if it is a force out, as long as the fielder has the ball in his possession (glove or free hand) if he touches the bag before the runner with any part of his body then the runner would be called out. Now if this was a play that required a tag, and the ball was in his bare hand and the tag is made with the glove, or visa-versa, then the runner is safe
If you reach the base before the ball but overrun the base, you must then be tagged out. Once you reach the base it is no longer a force play and the fielder must tag you off the base to make an out.
If you have a good armed player have them play 3rd base or if they are a good hitter but a struggling fielder put them at 2nd
Yes, the hitter is out and if the fielder who caught the ball can get it to a base before the runner gets back the runner is out making it a double play
No. If a batted ball is touched by a defensive player before it touches a runner, the ball is live and the runner is not out. Also, if a batted ball passes a fielder that could make a play on the ball and touches a runner, the ball is live and the runner is not out. This situation is very rare and would only occur when the infield is playing in and are in front of the runner(s).