Komas you unlock from doing something other than beating J-Adventure mode missions.The easiest way to get the "Battle x times" komas is to repeatedly fail the "get hit once and you lose" missions in J-Adventure mode.

Collect 450 koma in J-Adventure mode.

During the introduction, press L or R to change the color of the ink you use to scribble on the bottom screen (With the Jump Pirate face). The initial color is white, and the others are black, pink, blue, cyan, green, yellow/orangish, red, and gray.

When entering training mode through the deck maker, the block is a power character by default. Hold up or down before entering training to make it a knowledge character. Hold left or right to make it a laughter character.