Omid and (presumably) Christa died way too early on. I felt like they didn't give the characters or their deaths any respect at all. I expected Omid to die sometime within the season, but not that soon. The series could really use some humor after all, season 2 so far has been a lot darker and bleaker than Season 1. The dog scene hurt a lot, I was nearly bawling as I am a huge dog lover (I own three dogs). All in all, Episode 1 was good but definitely had some pacing issues.
Episode 2 was a lot better than 1, however I do feel like they are introducing far too many characters at once which makes it difficult to connect with anyone. Also, not sure if anyone has touched on this, but there are way too many survivors within short range of each other. Isn't something like only 1% of the world left alive? They shouldn't be bumping into this many people within this short time of each other.
Seeing Kenny again was amazing, I was tearing up. I already knew he'd be in it (thanks for spoiling it IGN), but I thought they handled it really well. One thing odd I noted though was that Kenny was very friendly... to a weird extent. Maybe he was like that in Season 1 for some people but certainly not in my playthrough. I do wish that Molly was in their group though, that was disappointing. I get the feeling she won't show up again in the later episodes, but hopefully I'm wrong.
Clementine is an excellent character. She should feel unrealistic, but she doesn't because Telltale handles her growth so well. If anything, Clementine from Season 1 felt more unrealistic than Season 2 to me simply because of how they have handled and portrayed her.
One other thing I noticed was that there are quite a few coincidences in this game. For example, when you push Sam (the dog) off of you, what are the chances that directly behind him are two carefully placed spikes? This isn't the only example of that either.