Question: Does Dr. Bishop mistakenly refer to Astrid by her actual name "Jasika" when they are in his lab with the CDC technician?
Question: Why would Luke Dempsey be arrested along with his father? He had no idea what his father was doing, never aided him in any way and only found out the truth after catching him in the act.
Question: In the original timeline, when Fauxlivia and our Olivia are in their opposite universes, the thing that makes our Olivia remember her real life and try to escape is the memory of Peter. In the new timeline, he doesn't exist. When Walternate has found and synthesised the Cortexiphan, he says that our Olivia is no longer necessary and to kill her. How did she get back to our universe with no memories of Peter, and no alternate Broyles helping her to escape and being sent to us dead with one leg?
Answer: In the time line of Season 4, William Bell is trying to destroy both universes to create a new one, and he needs Olivia to power the collapse. So he helped her escape. But the real question is, if not in search of Peter, why Olivia has to travel to the alternate universe to be captured and replaced?
Answer: He helped his father evade capture, impeding the investigation.