I might as well throw my two cents in..... (don't read this if you didn't watch)
Lizzie: No doubt she was screwed up. But the reason she showed compassion to the zombies was because she viewed them through her own internal filter. When she looked at them, she saw a similarity with some part of herself. She did care about her sister, but saw her as weak and vulnerable. Killing her so she would turn, made sense to Lizzie. It would make her sister into something she could relate to more closely and remove her vulnerabilities. She definitely had to go. As for the scene with her and the baby, she was simply about to exercise some of what Carol had been teaching her, without the benefit of a moral compass. BTW...shades of M.A.S.H. final episode

Terminus: Lots of advertising, no customers, and meat on the barbie. Gigantic red flag. And the name "Terminus"? They'd probably get more folks if they called it "Homestead" instead of using the latin word for "the end". The meaning of "sanctuary" was also revealed. Definitely a "shrine", based on the candles and names on the floor. Of course there was also the statement by one of the inhabitants that the reason they welcome all comers was something to the effect of "they become part of us and make us stronger." BTW, am I the only one who saw the stripped pile of skeletal remains they ran past? If they were veiling the cannibalism aspect of the group, they did their best to make it easy to come to that conclusion.
So what's with the powdered milk? The only food they had which wasn't them?