A couple of suggestions I have for the quests:
Perhaps get rid of this quest. It’s very luck based and not worth 20 QP. You must rely on all the other players to NOT kill the murderer and a not terrible murderer. Image of Quest
Add quests for DeathRun that require you to beat a specific time on a specific map. This kind of relies on the deaths not being aggressive, but also depends on how lenient the time is. I figure it should be pretty lenient considering the correct map needs to be voted on.