
First off why would she doubt Barbie. who she has seen helping and saving people? Why would she doubt Barbie because of what Big Jim says, who is someone she knows has been lying all this time? After that it snowballed. Phil lives! Apparently he has survived his gunshot wound, something that was never followed up on, and pops up at just the right time to cast some more suspicion on Barbie concerning Peter Shumway. Then it became Barbie must have shot Julia because she found out. Why on Earth would Barbie, who was in the military, shoot her in the upper right area of her body? Why on Earth would he call Linda for help to get her to the hospital? Why would he help save Julia's life?
Another point, why would Maxine shoot her in the upper right area of her body at pointblank range? Plot convenience?

In a move nobody saw coming, Big Jim killed Max and her henchman. Barbie got angry and attacked Big Jim, but at just the right time Linda (full off suspicion) arrived. Really, if Linda had a wheel of fortune, all of the spaces on the wheel would have read ''Barbie is guilty''. There were almost half a dozen ways she could have checked if Barbie really did it, heat of the guns, bullets in the magazine, etc. But she opted to take Big Jim's word for it, again. Thus she attempted to arrest Barbie, who promptly escaped, because she is the most inept police officer ever. When Big Jim told her to shoot Barbie, she even started firing!
During the episode Big Jim had a talk with both Maxine and Barbie in which he hinted at his desire to rule Chester's Mill. There was some, unsubtle, foreshadowing for Big Jim's announcement at the end of the episode with references to 'kingdom' and 'throne' which tie into 'the monarch will be crowned'. Big Jim basically declared himself dictator of the town, even going as far as seeking the death penalty for Barbie. This is a moment that could have been great if it the build up wasn't so lousy.
Another possible Jackrabbit reference could be when Barbie mention his old sergeant in Fallujah in the hospital. Barbie sure knows a lot about medical procedures, delivering babies and saving lives. The whole hospital scene bugged the hell out of me. One, the whole hospital is empty, even with a fight club in town. Two, there apparently are no doctors and just one nurse. Three, she runs off from a gunshot victim to help someone who is trapped. I don't even...
Their reactions to it were funny as well, with Junior getting jealous after Joe suggested it might be Barbie who caused it. Joe tried to connect various people to why the Dome created a storm, but even he with all his smarts didn't make the logical connection he usually makes: Julia. Julia is the most likely candidate to be the monarch, the storm started when she got shot and ended when her life was saved. Not to mention she has touched the mini-dome/sphere without it rejecting her. It even showed her the vision about the monarch!
The crazy vision 'The Dome Four' had caught me off guard. I wonder what the Dome meant by showing them Big Jim bleeding out while they were holding knives. The immediate analogy that popped in my head was Julius Cesar, another dictator who got stabbed to death. I'm interested to see where it leads.