Kick the King chess

The rules of Kick the King Chess are a simplification of the rules that apply to normal chess. The rules of normal chess apply, except for that the king has no royal protection. So he may move into check and must even move into check if no other move is possible. The player who kicks the opponent's king off the board first wins. If a player cannot move when he is on turn, it is a draw.

Questions:
a) Show that there is a position that is a draw in normal chess, but not in Kick the King chess.
b) Is there a position that just is a draw in Kick the King chess, but not in normal chess?

Answer.

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