Keep in mind that I'm still learning about these characters. But from what I've seen, Tim Drake in Gotham Knights appears to be more like his comic counterpart than any other version of the character that I've seen outside of the comics. The only differences that I can think of is that he has a severe addiction to coffee in Gotham Knights. It's also said that he's a fan of cryptozoology. It's mentioned that he's determined to prove that the chupacabra is real.
Rose can't work with Dick and keep killing. If Dick trained her, and she uses that training to kill people, he should do everything he can to stop her (obviously, within the limits of the bat).
No killing would be part of the contract. Rose isn’t particularly bloodthirsty anyway.
Yeah, I don't feel like that would be an.issue for Rose at all. She is not her father.
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Yeah, I don't think Rose is still doing contract killing at this point anyways unless I missed something.