Itachi considers Kitty a friend. One of the few friends he's ever had and he enjoys the banter between them because it's simple and lacks strings attached to it. He doesn't have anything to prove to Kitty and doesn't intend to try to prove anything to her. She's the only person who has maintained a friendship with him since his arrival and he doesn't even care if that was because she was friends with the previous Itachi. They are friends and they work well together and he believes she has some trust for him at the least and he trusts her more than anyone else in the prison currently.
Laura feels a connection to Kitty. Kitty is not like the X-men back home where most of them are traumatized but still "sheltered" in a way. Kitty is more like her. They understand that sometimes terrible things have to be done and Kitty doesn't seem to judge her like the friends she has back home. The fact that Kitty seems like such a strong leader also makes Laura want to defer to her. She doesn't like making too many decisions on her own, so having Kitty make them instead is better.
Dick doesn't have too much of an opinion on Artemis, but the fact she's an archer makes her cool to him. She seems like she's tough and knows how to handle herself, too. He feels a bit bad for her that Dick doesn't trust her since he's pretty sure that if you can't trust your own teammates you're a crappy teammate yourself (which says more about his opinion of Dick than of her, but still).