After emerging from the lake, Pauline goes straight to Big Jim's house, however when she gets there she is completely dry and her hair is neat.
When Jim is talking to the men in black outside the dome he writes "Me and My son", the words "son" standing under the word "my". When he later looks at the sign in the car the words "my son" are next to each other.
When Big Jim first approaches the dome to talk to whoever's in charge, he has a note written on paper. Then, when the man in charge shows up, Big Jim has a laptop that he opens, and in the next scene, he's writing on paper again.