First of all I must say that I play with selectables turned off. I tried to open the bear trap than I hit the chain with the axe but finally I chopped his leg off. I didn't even know I can hit the tree
I think you can hit the chain with a stone as well. However it feels like cheating when you know where to click.
In the meat locker I sided with Lilly because that was the human thing to do. I've always followed the logic of saving kids and women first. Lilly needed me and I helped without hesitating. I don't regret that choice at all.
I must point out that before that I'd sided with Kenny most of the times although I stayed neutral when he was quarreling with Lilly. I wanted to keep the group stable. Despite my efforts he destroyed it because of his egocentrism and then he betrayed me. After saving and feeding his kid twice.
Also, I need to point out that through the entire episode 2 I was trying and hoping to get along with Lilly and Larry. Although I failed, mainly because I told Mark that Larry thinks I'm dangerous and he told him, I managed to see Lilly's good side.
Then after Kenny betrayed me I felt really bad for Lilly. I've been against her in order to support Kenny and he just left me for dead. So I felt I've been really mean to her and unlike Kenny, she doesn't deserve that. So I deleted all my saves and started from the beginning, remaking all good and bad choices but this time treating Kenny as he deserved.
That's when I truly realized that Kenny seems like the right choice, but it is actually the easy choice. Lilly and Larry look bad but they've been doing tough choices from the very beginning and I respect both of them for that.