The best way to learn is to try so here's what I have without checking the book.
1. Obstruction between 3rd and Home, runner goes back to third.
2. If we take it that F3 had an opportunity to field the ball interference. Otherwise obstruction and both runners are safe.
3. If hit with a fielder having an opportunity to make a play, then we have interference. BR is not out. Runner is. 1 new out and runners at 1st and 2nd. If we have no fielder with a chance to make a play, dead ball, BR is out and then we just have to sort out the awards. I can't remember on this one if the runners have to be forced to advance and am going to say yes and return them to their bases. But I simply don't remember that rule.
4. Runner hit with a thrown ball who was not committing interference is nothing. As long as she doesn't go backwards and isn't trying to get in the way, I'm not sure I have interference. A runner going to first is entitled to stop just not go backward.
5. No there are no illegal pitch considerations. The pitch is a ball. The collision here sounds like obstruction because the ball is quite a ways from the fielder. So best guess, nhbt, I'd have her safe at second and decide on the award at home.
Okay, folks, there's my ignorance on display, let the constructive corrections begin.
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ZOLOFT PRILOSEC NEXIUM