@FxStorm I reworked #5 to make it easier, at least I hope so.
Quick and accurate method of counting multiple captures on the same square
Rule 1: If you want to capture sucessfully on a certain square you must have at least one attacker more as your opponent has defenders.
Rule 2: If both sides also have pawns which are attackers or defenders, then the attacking side must have at least the same amount of pawns as the defender. (Maximum 2)
Rule 3: The attacker must have at least the same amount of minor pieces (knight/bishop) as the defender. (Maximum 3)
Rule 4: The sequence of captures depends on the value of the chess piece. You always start to take with your pawns, then with your minor pieces (knight/bishop), then with your rooks, then with your queen, and at the end with your king.
(note: Sometimes the attackers block each other which has an effect on the possible capturing sequence. E.g. 2 rooks on d1 and d2, queen on d3. All these major pieces attack d5. But only the queen attacks d5 directly, both rooks only x-ray attack d5. These things also have to be taken into account !)
All 4 rules must be fulfilled for a successful capture on a single square.
You only have to count pawns and pieces before the first capture. It is not necessary to calculate anything.
I propose that you create a study with some testing positions.
P.S. : The maximum amount of attackers and defenders which can target a single square at the same time is 8 for white and 8 for black.
2 pawns + 3 minor pieces + 2 rooks + 1 queen. And additionally maybe also the king, if you build a theoretical position.
P.S. : It will be interesting whether someone can find a position where these simple rules fail.