I am now rewatching Jessica Jones (slowly, instead of the binge week-end the last time).
Some things that are unclear the first time around make sense knowing it all:
Jessica Jones is "stalking" Lucas because of her killing his wife. On the first viewing, it seemed more like that might just be something she did when she could not sleep, and later I didn't really actively think about it more.
On the first viewing, it seems like Killgrave is playing with Jessica - especially when he sees her and doesn't immediately try to give her orders. But he probably already knows, or ist at least worried, by then, that he might not be able to control her - so he takes off and puts the family in her way so he can be sure he gets away. It also explains his other security measures a lot better - it's not just paranoia.
The scene with her addict/spy neighbour and the biker and the scene in the hospital have an interesting undercurrent - at that point, he was spying for Killgrave already. In the first scene, Jessica defends him, and in the second, Jessica uses him for her own gain. Jessica is ashamed of the second time, but she is not aware that he has every reason to feel ashamed about something, too...