Yay.
Legal position? (Part 3)
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-.- And this is why I really need to check my solutions more. Luckily, this bit looks simple enough: If the d2-pawn was the original g-pawn, it would need 3 captures (4 if it was the original h-pawn, making that option right out...insert obligatory Holy Hand Grenade reference here) to get there; hence leaving the a-pawn with no way to get past White's a-pawn to promote.
Correct, and now the reasons for White's rook, queen, and a2 pawn have been explained. With only 3 available captures, it would prove impossible for Black to get that pawn structure AND promote one of his pawns. Combined with previous points, this means the position MUST be illegal. Analysis complete!!