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I have the tablet but I think that blue bar you see is related to the theme. Not sure though. About the battery,it will improve as the system needs to stabilize after a large update.
Yeah, the blue statusbar is related to theme and I haven't found a way to change it. The default themes uses blue (or whatever color you choose - black is not available) as a default statusbar color. Which makes no sense, I hope somebody from Sony reads this, because IMHO this is worst bug in the whole lollipop update.