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A DH is batting for the Pitcher. Therefore, the Pitcher is on defense and the DH is on offense. The only way for the DH to enter on defense is for the pitcher to leave the game, not go to LF. If the pitcher goes to LF then the DH is terminated since the DH can only bat for the pitcher. The new pitcher can come in to play in the 2B spot, but he must leave and the pitcher will bat in that spot in the batting order. The old pitcher, now playing LF will bat in the spot where the DH was batting.
I added the words NEW and OLD to Bob's comments to make it clear to me. I think we are saying the same thing.
"The NEW P bats in the space vacated by whoever left the game. In (1) the Dh left the game so the OLD P bats here. In (2) (and in 1 and 2 combined) F4 left the game so the NEW P bats here."
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