Yes.
yes as long as the runner(s) touched home before the tag on the person on first
A run counts if the runner crossed the plate legally and before the third out. If the runner crosses the plate even a half-second before the third out is tagged on the basepaths, then the run counts. If the out is made a half-second before the runner crosses the plate, then the run does not count. One exception is that with two outs the runner cannot score until all forced runners have reached their bases safely. That is, if the batter-runner is thrown out at first even after the runner crossed the plate, then the run does not count. Same thing if a runner is thrown out at second or third base (on a force-play only).
Yes it does count because the runner crossed home before the final out.!
If the third out is a force play or a fly out, a run can not score, no matter how soon a runner crosses home before that third out. If the batter hits the ball over the outfielder's head with runners on first and third, and the runner on first constantly slips and falls as he runs to second, the fact that the batter got to first and the runner on third got home several seconds before the runner going to second was forced out, is just too bad. It's still a force out, and no run scores.
Yes. The runner going to 3rd is still forced since there are runners "forced" to each base behind him.
not unless the bases are loaded, creating a force at home for the runner on third otherwise the runner must be tagged to be put out
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.
bases loaded means that there is a runner on 1st base, a runner on 2nd base, and a runner on 3rd base, all of the bases.
no, if the out was a force out at any base. Yes, otherwise.
No, the fielder does NOT have to touch the base before tagging a runner out. The fielder only touches the base on a forced play.
Yes. The batter is awarded first base and all runners would be forced up a base allowing the runner from third to score.