@RogerCooper Ok, sorry for such a long delay but here are the answers to your questions.
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First you must understand what Blitzing is. Blitzing is when you, pass through an unoccupied enemy controlled territory on your way to a second combat as part of your 2nd combat move as a tank. So in short, no. If it is zombie controlled, no you have to stop and fight. If it is friendly units with zombies in the territory, then you can move through but it is not a Blitz.
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Yes, what a bonus!
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No, because the rule states that if you attack a zombie territory with only planes is for only 1 round.