If the guy from 3rd scores first, then the run counts, if the guy at 1st is tagged first, then there are 3 outs and the run never actually scores because the inning is over.
Yes.
If there are less than two outs, yes. If there are two outs, this is a timing play. If the runner crosses home plate before the batter is thrown out at second base, the run counts. If the batter is thrown out at second base before the runner crosses home plate, the run does not count.
inning over. The run does not count because the force out at 3rd base.
Yes. On a tag play, if a runner crosses home plate before another runner is tagged for the third out the run counts.
Yes. If a runner crosses home plate before the third out is made (unless it's a force out), the run counts. For example, say the Yankees have runner on third with two outs. The batter hits a ball to the gap in right center. The runner scores, but the batter is thrown out at third trying to stretch a double into a triple. Since the runner on third crossed home plate before the batter was out at third, the run counts. On a force play (at any base) the runner would not be allowed to score even if he crosses the plate before the force is made.
The run does not count if a runner crosses home plate during an inning-ending double (or triple) play, where the runners are all retired on force outs (as is the case in most double plays). Generally speaking, if the third out is recorded by a force out (including at first base), no runs can score on the play. If the inning's third out was not recorded through a force play (whether or not it's the second or third out of that play), however, the run will count if the runner crossed the plate before the out was recorded. For example, on April 28, 2007, the Indians recorded a double play by catching a fly ball and catching the runner off first base. The runner from third base had already crossed the plate (after tagging up properly), so the run counted. In that case, the umpires actually got the rule wrong, and reversed themselves 3 innings later.
The umpire. If the runner crosses the plate before a tag for the 3rd out is applied, then the run scores. On a force out, no run scores regardless of the timing.
When his/her chest crosses the finish line.
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.
The run will count if the runner on third crosses the plate before the runner on second gets taged out. All force place end the inning without any runs scoring, however, all tag plays end the inning at the time of the third out.
Runner would advance a base but if appealed that runner could be out.
Runner is out.