Illegal Position Contest!


This is a common trick puzzle, because it appears in a semi-famous book, but is it possible for this position to be reached with white to move?
Can’t this position be legal if you play Nf3 e5 Ng1

How?
[Hint: Remember En Passant ]
More like: remember the Bishop on e5! [Smullyan's composition, mirrored]

How?
[Hint: Remember En Passant ]
It's a little trickier with BigDoggProblem's correction.

There is no possible previous White move.
Current FEN [subject to edit]: 7r/8/8/8/6n1/8/5k1b/7K b - - 0 1
Last move could be 0...BxRh2 preceded by any wR move along the h-file.
There is no possible previous White move.
Sure there is. -1.Kf1 or -1.Kh1, then retract the check by bQ.
I only saw that after I posted it, whoops!
Changed the position.
Ok, I went through analysis, and I am 80% sure that this is illegal due to impossible promotion.
4Q3/1Q5Q/2P5/1P1PKPP1/Pk6/6NP/3N4/8 w - - 0 1
(White has 3 queens and 7 pawns, and White could only have one more queen than he has pawns promoted- he has two extra queens.)

White king on e4, black queens on g3, g5, d6, f6, c3, c6, d2, f2, black king on h8!

White king on e4, black queens on g3, g5, d6, f6, c3, c6, d2, f2, black king on h8!
Legal. bQc6 just captured something.
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Nearly illegal! Well done! But there is one way out for this due to the proximity of the White king with the bishop.
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