Both Berolina and Chinese Pawns are omnidirectional Pawns. They move orthogonally (one square only) but capture diagonally.
If these two Pawn types are essentially the same, you might as well replace both with Stewards, which have the same move (move without capturing one square orthogonally, capture one square diagonally).
The Kings can not move into check or be checkmated.
Does that last part (or be checkmated) mean that other pieces cannot put the King in check?
Guards move one square orthogonally and diagonally in any direction. .
I assume here you mean "Guards move one square in any orthogonal or diagonal direction, akin to a non-royal King."
If these two Pawn types are essentially the same, you might as well replace both with Stewards, which have the same move (move without capturing one square orthogonally, capture one square diagonally).
Does that last part (or be checkmated) mean that other pieces cannot put the King in check?
I assume here you mean "Guards move one square in any orthogonal or diagonal direction, akin to a non-royal King."