Mafia 101. Disputed Island

I'm eager to know what logic Doug followed on the 2nd and 5th nights.

On the 2nd night - it's all about luck.
On the 5th - well, since they couldn't hang him, they at least infected him.
And he stayed home for the last two nights.

Added 2 minutes later
Sesame, I haven't forgotten. It's just not very interesting...