The dog Peanut is accidentally shot at 55:41, and while it’s not very graphic, blood is visible. The dog is fine but appears with a bandage with a small bloodstain about five minutes later.
Iris is asthmatic and forgets her inhaler when going out into the snow (maybe 3/4 into the film.) We don't hear gasping so much as we see her lower to the ground, unable to locate the inhaler. Someone goes out to find her in the snow and she's taken care of / recovers really well.