Thanks for the clarifications. On 3, I have nothing. On 2, I agree with MJT.
On 1, the reason I ask is that on a punt, the covering official will often blow the ball dead immediately if it comes to rest. There's no need to wait any longer, even if there are K players around. In fact, you see it often where K players have surrounded the ball and it's rolling slowly. If K doesn't touch it, and it stops rolling, you blow it dead right there, without waiting for K to grab it.
However, since your sitch has the official not blowing it dead, if K somehow managed to touch it after it was stopped, but not blown dead, and pushed it into the EZ, then R can take the ball at the first touching or as a TB.
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