misc questions

[MdSooner]

Please dont beat me up for asking these questions:

1) runner on 2nd - pitcher spins toward 2nd for a pick off attempt. prior to throwing the ball the runner takes off for 3rd. pitcher stops his motion then throws to 3rd for the out. legal?

2) runner on 2nd. no outs. fly ball to f7 who catches the ball cleanly then "carries" it into dead ball territory due to his momentem (unintentional). is the ball dead automatically and award base(s)? or can f7 come back in live ball territory and play resumes and whatever happens - happens? is the rule different for obr?

3)runner rounding third slips and falls. 3rd base coach helps runner up and back to 3rd. is this an immediate dead ball? which means that runner is out and all other runners return to their base at TOP? (br awarded 1st?)

please just give the Fed Rule unless for #2 OBR is different.