Safe Chess Pieces

  1. With at least one piece of each type on the board, what is the maximum number of chess pieces you can place on a chessboard, such that no piece is under attack?
  2. If we use the scoring below, what is the maximum score you can achieve?

Pieces and scoring: Queen=7, Rook=6, Bishop=5, Knight(N)=4, King=3, Black Pawn(P)=1, White Pawn(p)=1.  Black pawns attack down the board, and white pawns attack up the board.  Any piece may occupy any square.

Source: Original. My second choice for the 2005 Puzzle Design Tournament.


Solution
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