In the first episode of season 1, one of the three main characters kills a deer. You only see the bloody carcass. Later on in season 3, a character develops a craving for fresh/raw meat and eats several mice (only one is shown on-screen). Her friend eats a cat (you see him lure the cat over and jump towards it, but eats it off-screen).
There's a lot of gore throughout the show and this episode isn't especially any more less gorey than others, but it does stand out because a character goes into convulsions and starts bleeding from the eyes, ears, nose, and mouth.
After turning back human, Josh steals a dress off a clothesline. Aidan refers to him as a "slut" when he gets in the car but it otherwise goes unmentioned.
It's somewhat unclear if she actually dies, but a pregnant woman is shown splayed out on a table in front of the Dutch. Bishop bites her wrist and later the table is flipped with her on it and she is not shown again, alive or dead.
You can hear babies crying in the background during some of the hospital scenes. Especially after Zoe is introduced in episode 3 of season 2, as she oversees the nursery.
Several deers die, one in the first season and I think the second one is in season 4. A man goes out into the woods with a kid to kill a deer (and show him how to hunt), but the deer doesn't die