I just stumbled on this story, read it with pleasure, but  have a question. Normally I see "把" in sentences with concrete objects: 
"请把椅子拿过来" (Please bring the chair over to me). 
"他把牛奶放在冰箱里" (He puts the milk in the fridge).
Also in the story it is obvious to use 把 when Mr. Pig takes resp. the tail, hair, and stripes of his friends.

However, later in the story " 把" is used even though there is no concrete object:
"可把我吓坏啦" (It made me very frightened).
"猪小姐把那个丑八怪的故事仔细地讲给了猪先生" (Ms. Pig told the story of the ugly person to Mr. Pig in great detail).

Can someone explain me why the 把 is used in the latter sentences? Is it also possible to omit 把 there?