There are a few mentions of dog death or harm. Due to the sometimes deliberately disturbing tone of the podcast, they are likely to be upsetting for some people. In one case, a dog is said to have been put down so its owner could get some cats. There is also a suggestion in one episode that dogs are seen as pests in the setting and are dealt with by pest exterminators.
There is a scene where an antagonist suggests that a character who uses a wheelchair needs to be "fixed". This is immediately challenged by a relative of the person, who becomes enraged.
There are at least two brief possession subplots, although they aren't exactly in line with the standard idea of being possessed by another person and are more similar to mind control.