The problem is that the questions are unnecessarily complicated, and eve when answered you come back with the same question or variations that don't matter. Go to an umpire clinic and pay attention, silently, when they talk about balks.
For the latest two questions:
1) Once you feint to second and break contact with the rubber, you are an infielder. You can feint or throw to any base in any manner.
2) Once the free foot is raised, F1 must throw (or feint, where allowed) to the base being faced, second, or pitch. Once the free foot crosses the rubber, F1 must throw (or feint) to second or pitch.