It seems that allowing anonymous killings should start no earlier than the second night, as there is very little that can be said on the first day in that case.
Here's something else.
Mika, please forgive me for killing you. No one is perfect; I decided you were a Mafia member and was wrong. And when Kosha commented on this, I actually took it as an argument in favor of her being a serial killer, although it wasn't the most important one, of course.