Tricky pawn!
You apparently made a serious attempt to create a cluster of related puzzles. There are some glitches like the move 7. Ne8 in the last puzzle is not the only one to draw. StockFish evaluations like -.47 are insufficient for a black win. The puzzle therefore really stop after 6. d7! and you could add the move 7. Ne8 as an example line in the comments but not as a requirement to solve. In another puzzle you wrote that b7! is the only way "to win" where you apparently meant "to draw". I did not check all puzzles.
Btw, you ought to state for every puzzle whether it is a win or a draw like all real puzzle makers do. Chess.com has the weird habit of not instructing you what the objective of a puzzle is which gives everybody here a bad education on making puzzles.