It has improved on all fronts. Story wise its picked up and the direction and acting are better.
Still a few minor problems, the pacing for one. They keep showing the places events are happening, I forget if they are still putting the times up, but its the third ep and technically the second or third day I think, that info was and is being used to inject drama, like a count down or highlighting the area and none of it actually seems to matter, so its not doing that and so its pointless. In the first ep they made a big deal of characters saying the world will change tomorrow, like there is going to be chaos on the streets dah dah dummmm and then next day, nothing has really happened.
I get the whole kid custody issue is the docs narrative, to show how much he loves his kid really and how much whats going to come will probably be based around him trying to protect his son, like his ma will probably be turned or eaten or something and he has to balance fighting vamps and saving the world with being a single dad blah blah. Its just that its dull, its being dragged out, I really don't care and at this point I hope the little tit gets eaten. Its a well used trope, its been done to death, see it with the walking dead. If they are going to use a well worn path, do the my son got eaten and I'm out for revenge one. Then at least you don't have the 24 scenario, of oh no my kids in trouble, aaagain, have to go save the little bleeder. Or the choose between doing the right thing, saving the world/lots of people and putting my own needs first and saving my sprog yaaawn scenario.
I guess the main gripe is its 3 eps in and still in the first act setting up the story. This is a tv writing issue in general though. Its a problem when its a long narrative, rather than episodic monster of the week show. Doesn't help either when its only 42 minutes of screen time.
So, even though I'm moaning, overall its still being done ok given the constraints.