Ergh... Actually, I don't feel that Akai or Ai is out of character. Ai is about to go and fight those he hated, she still has no idea whethere she should or not take the pill, whether people will hate her after she takes the pill, and most of all, whether he will lose her beloved one.
In Akai's case, Akai might just be showing his detective skills. He is pretty much as good as Shinichi you know? They have the same things in mind and judging from all the cases with Akai, I consider him equally smart with Shinichi, though Shinichi is a bit, or let's say far worse when it comes to intelligence and knowledge about love.
Haibara hating Akai?"And Jesus knew their thoughts, and said unto them, Every kingdom divided against itself is brought to desolation; and every city or house divided against itself shall not stand: And if Satan cast out Satan, he is divided against himself; how shall then his kingdom stand? " (Matthew 12:25-26).Haibara is smart and she knows that it isn't akai's fault.It is the black organisation's. For me, she is wise, and all that.
Akai preparing breakfast? Why not? He could be able to simply scramble an egg, or make some noodles, or toasted bread and spread jam on it...