The time span from one episode to the next gets shorter and shorter as the season goes on. Episode 2 takes place three months after Episode 1. Episode 3 takes place one week after Episode 2. Episode 4 takes place 12 hours after Episode 3. Episode 5 starts exactly where Episode 4 left off.
According to a Telltale Games livestream, A New Day was originally going to start with Lee's group in the drug store fighting off walkers, following a non-linear storyline. The scene with Lee in the police car wasn't made until later when they decided against going out of chronological order.
It is revealed from the unused audio clips of Starved For Help that the St. John brothers are the ones responsible for setting up the rigged bear traps found earlier. You can even see a few traps in their barn.
This game is set in the same world as The Walking Dead comics but not the television series.
Clementine was almost cut from the game completely, because they thought that people wouldn't be able to connect to her, but in the end decided to keep her.