safe can be "secure" "in protection" or just a safe where you keep valuable belongings.
The theme is based outdoors the story is about trust but not a good deal in favoring the woodpecker agreed to help and he did but when he asked the lion for help he didn't say I gave a good deal to you I didn't eat you but all in all the lion is not fare and the woodpecker was
Peeta doesn't want to be 'a piece' in the Hunger Games, and he wants to die the same person he is now. He doesnt want the Games to change him.