No, she doesn't. She only has the publicly available information on Hale, plus what Dolores could tell her about Hale from meeting her. Hence Host!Hale not knowing about the recording Hale made until she saw it, and not knowing Hale was the mole or what her password for contacting Serac was.
Dolores encrypted the Sublime when she visited the Forge in the Hale body with Bernard.
As Dolores said in the premiere, the system isn't a true AI. It's a predictive algorithm. She considers it a false god (and herself and the other hosts the true gods). She either wants to destroy it to take away a predictive advantage her enemies have, or take control of it herself.
Host!Hale questioned why Dolores brought Bernard back because "he tried to stop us". So she was someone who was with Dolores when she attacked the Delos forces, and who saw Bernard.
No. That new body we briefly saw made was the new Dolores body, not the Hale body. We only saw the face in alabaster form in that scene. Once it was done, Dolores put herself in it and someone else in the Hale body. That's why we see it being made before Host!Hale wakes up. As for how Dolores put her own pearl in a new body, it would be easy enough to tell the printing machine's arms to take it out of one head and place it in the other.
It also occurs to me that if they acted without approval and something went wrong, they could be personally sued.
Host!Hale said that seeing Thomas reminded her of something she'd been missing in order to feel like herself. So that would be the opposite of losing herself in the Hale body. That predator line was about her original self.
It means there are three trillion dollars unaccounted for that should be somewhere, and that Serac has them. It's unclear how she got the name associated with that.
Dolores and Host!Hale did know those things. Host!Hale recognized Hale's ex-husband as soon as she saw him in the apartment, remember? She was only surprised because she hadn't been expecting him. And she had been late to pick up Nathan multiple times because she wasn't emotionally invested in him, so he kept slipping her mind.
Host!Hale originally talked about a playdate because she didn't realize Thomas, the new friend with a dog Nate was talking about, was an adult. When she saw them together she realized he was a pedophile because of the way he was stroking Nate, and his lying about how when they'd met. It was clear it was the same guy because Nate called him his friend Thomas both times.