Is it true that women are more hormonally charged during the full moon?

Possibly: As our ocean's waves reflect the pull of the moon so to may our cycles of all sorts. There are no quality studies suggesting that women or men are more "hormonal" during a full moon but the appeal of the thought probably drives much energy toward the concept. In itself it is fulfilled.

Probably not: but there are many tales about the effects of the full moon...I am not aware of any scientific evidence to support that, however.

Only if your cycle: coincides with the full moons, which eventually it will for a time. But then, gradually, the two cycles will go out of sync, and then, no.

No.: This has been debunked many times over. The moons gravity on the planet is essentially the same whether it's full or not. The moon's fullness is based upon shadows across it, not gravity. Also, the gravitational effects of one’s pillow or bed on one’s body at night are more powerful than the moons gravity is. There are some animals who respond to the increased light of it, but that's about it.