Bug: It is uncertain exactly what causes this, but sometimes, usually with bats, the quest counters for killing flying enemies won't tick up when killing them off screen with arrows. However, if you slow down a bit and let them appear on screen, then kill them, once you start shooting arrows off screen again, the quest count will start to tick up again, killing them off screen.
Character mistake: The Fire Bat variant of the Bat and the Gamma Worm variant of the Worm are both listed as Fire Types in the bestiary and count towards the tasks of "Kill fire type enemies" in quests. However, the actual Wildfire enemies, which are literally made out of fire, are not considered fire types and don't count towards fire type kill quests.
Trivia: When in Edenor's Tavern, you can buy a regular beer for 5 coins with any character and it will say "You pay for the beer and drink it." and that's it. However, if you do this with the two special characters you can buy from the shop, you get an additional text box. For Azure, who is made of water, it will say "But it dissolves in your body." and if you do it with Haskell, who is made of fire, it will say "But it evaporates before it touches your mouth."