Moose

Corrected entry: At the start of the film, the T-X kills Jose Barrera. Later, the T-850 knows his name and that the T-X killed him; he shouldn't do, because the whole point of the Terminators going back in time to kill people is that those people would never then be able to oppose Skynet in the future. So Jose, having been killed in the past, would never have fought against Skynet and the T-850 would never have heard of him. There is no consistent interpretation of time travel in which the T-850 can have heard of Jose, while not making it pointless for Skynet to kill people in the past.

Moose

Correction: Time travel films tend to operate according to their own rules - as time travel is, at best, highly theoretical, there are no hard and fast rules about how things should operate. Both the T-850 and the T-X originate in a timeline where Barrera survived to fight against Skynet - his death at the hands of the T-X means that that precise timeline will no longer come about, but, by the rules followed in the film, that doesn't mean that the two Terminators will suddenly lose all knowledge of it, wink out of existence or anything like that.

Tailkinker

Corrected entry: When the T-X meets Catherine in the graveyard disguised as her fiance, she turns back into the T-X right in front of her. Not only is this a breathtakingly stupid idea - obviously done purely to meet the plot requirement that Kate learn about the terminators.

Moose

Correction: Not necessarily true. She'd gotten close enough to kill Kate, had the others not intervened. And she would probably be more powerful in her true form - I doubt that she could form her primary weapons from somebody else's hand without turning that hand into her own hand first. And if she does that, she's showing her true form anyway, so it was simpler to just turn back into her self.

Phoebe

Correction: We are told that the T-850 has been reprogrammed by humans in the future so it's feasible that they would provide their knowledge of the past to enable greater anticipation and tactics that work in the past - an environment the T-X would know less about.