Overall, I liked it a lot. Some thoughts....
1) The opening very much seemed like a carbon copy of
28 Days Later, which seemed very much like a carbon copy of
Earth Abides. I guess this allows them to quickly get to the post-zombie world, although they have to deal with a protagonist that doesn't know what happened. I'm a big fan of watching the world descend into zombie chaos though, so I miss that.
2) The scene in the house with the father/son and the deputy seems stolen right out of
I Am Legend, and from some of the comments above, that is something that I'm going to notice thematically as the show goes on (i.e. who is the real monster?).
3) The Sheriff Deputy is possibly the dumbest zombie apocalypse protagonist of all-time. Leaving the safety of your transportation and walking into a huge park and then discharging your firearm, knowing that it will bring the hordes? Walking up to an abandoned farmhouse, and YELLING? Taking a horse into a city that could potentially be full of zombies? Are you serious, Clark? People like that should be (un)dead, not rewarded with a tank.
4) I was happy to see a balance between the slow zombies of yore, and the fast zombies of more modern films. These zombies shuffle, and can lumber after you, but aren't imbued with rage-fueled super speed.
In the end though, it's zombies, so it's an almost automatic win.