1. Picard was an ex-Borg. He would have done things a lot differently from Janeway. NO WAY he would have gone to the cube for instance. Picard was not a hands on captain like Janeway was. NO WAY he would have let anyone go to the cube. No way in hell!
2. I see Data helping Seven definitely, and Worf NOT happy at all. I see Geordi going cuckoo for cocoa puffs around her. As for Picard, he would keep her because it's the Starfleet thing to do, no more. Eventually though he would soften up, but he would never become a father to her. I'd see Beverly become a mom though.