In the book Katniss does sneak the sleep syrup into his soup but it doesn't do that in the movie.
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Peeta tells Katniss that she is not good at lying. He is proven wrong when he is later tricked by Katniss into consuming the sleeping syrup when she tells him it's a mix of sugar berries. He is also duped by Katniss because he thinks her feelings for him are real. He realizes after the Games, that she was only pretending.
Peeta and Katniss.Catching Fire revolves around Katniss's fake pregnancy with Peeta's child and their marriage. There is small Katniss/Gale mentioned, such as Gale's quick kiss with Katniss, but the main pairing is Katniss/Peeta.
Peeta and Katniss is Penis or Peetas Kats
Peeta doesn't fear Katniss. It has never been said that Peeta fears Katniss, but he does love her.
He's looking for the love Inbetween Katniss and Peeta.