Lori's attitude makes no sense whatsoever... first you acknowledge Shane is a problem, BIG PROBLEM most likely a threat, you want him away from your family, you ask Rick to protect you and your son. Rick actually did what needed to be done and she gets mad? dafuq??? she really makes no sense as a character, I mean AT ALL, that part of the script is insanely retarded.
I just don't care about sophia's mom anymore, I was really hoping she got killed during last episode... still don't know why she didn't...
I feel Lori's reaction makes perfect sense based on the character's motivations to this point.
It's clear she felt
something for Shane, and regardless of the place they were in at the end there, she probably hoped something could be worked out to where everyone could coexist somehow.
I don't buy, for a single second, that she was actually trying to convince Rick to kill Shane. I think she saw Rick as being dense to the threat Shane posed to their relationship and the stability of the group as a whole, so she tried to nudge him to do something to make Shane understand that it couldn't be the way it was before. She basically wanted Rick to get Shane back to a state of normalcy so things could go back to the way they were before.
EDIT: I concede that the scene where she tells Rick that Shane still thinks the baby's his looks a lot like she's giving Rick the apple, so to speak, but I think that's just a poorly filmed scene. Especially based on everything else Lori has done in the show. I think that was just unimaginative production trying to put a tense conclision to the episode.
Rick understood the situation better than she thought, but that's not how she perceived it.
Her reaction at the end of the episode last night, pushing Rick away, is her just not knowing what to do or how to feel about the revelation and lashing out in anger and confusion. She's probably just as mad at herself for not being more responsible about the situation, because if she hadn't been acting like such a knucklehead about it, maybe she could have prevented it from ever happening.
Carol's reaction is exactly the same, but she has no room to talk. Rick risked everything looking for Sophia and all he's tried to do to this point is involve the group in decisions and make sure everyone's views are taken into consideration as it concerns their joint fate. One could claim Carol is emotionally unhinged, like Lori, but the difference is that Lori was far more involved in Shane's death and has been a motivating factor for the group's direction most of the way (via Rick or Shane.) It was only when Sophia was missing that Carol even mattered. She's been a tag along the rest of the way.
The only way I could see Carol disliking Rick, at all, is if she somehow directly blamed him for Sophia's death. Rick even put Sophia's corpse out of its misery, something nobody else had the balls to do. Carols motivations for wanting to depose Rick seemed badly written and made no sense. I guess the writers just didn't want her becoming popular like T-Dog, with his suave silence and assassin's glare.