The Med is controlled by the USN with no real threat so the US can take its units in France and dump them to support UK.
Blitzing
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can you move a tank one space into a unoccupied country, and then move it back to the country you attacked from and call it blitzing?
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Yes:
A tank can "blitz" by moving through an unoccupied hostile territory as the first part of a move THAT CAN END IN A FRIENDLY or hostile territory
(emphasis mine).One of the
gotchas
of doing a blitz, is that any facilities such an an Air Base, IC, or Naval Base, will block it, so if a tank enters a territory that contains any one of these things, it has to end its turn in that space.