After a zombie apocalypse occurs, which wipes out most of humanity, we see the lives and times of the Simmons family, through three different perspectives through time as everyone seems to die around Jack Simmons.

The moment we read "we see the..." especially followed by "lives and times" we indeed get the impression of reading a pitch for a TV show. It is too loose. Even if it were a TV show, you would still need to supply some tight plot premise.

Also, omit any names. Instead, write a couple of words about what the character's psychology is about.

I see that your premise is that people die around the main character. This doesn't look like an important event, though, in the midst of a zombie apocalypse. That's a part of the zombie (or horror) film convention: people die (and rise) all the time around everybody?especially the main character.

Unless it's a comedy and the main character is an narcissist/egomaniac who thinks that everything revolves AROUND and happens TO him. But I don't think this is your intention.

Is this for a tv show?