You should call BH and ask them.
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The only way you will know is to shoot till its dead. See how many shots you get. You should be able to shoot all day on one batter for stills. For video. Go buy 5 more batteries
And if you push the multi-controller straight in, if you had moved the center AF point to another position, it brings it right back to the center.
My other favorite features are pushing the "SET" button and the finger dial to adjust ISO directly in the viewfinder...