Mozaik is send to the big farm where you can release some of the captured monster girls. You get her CG scene by interacting with her there.
False Love is achieved when you give someone a love potions before their relationship is high enough, and you get the negative effect.
Stronger Than Nature requires to defeat all three nature raid bosses together in Kiki's challenge mode.
For Dungeon Master you have to solve Lielle's riddle dungeon and defeat Thorax.