[Junior]

The swinging weight of a molten moon core would either have sent the moon flinging off into space or would have sent it crashing to earth.

Now this is where you begin to stumble.  I found a site written for pre-teens (so it should be right up your alley) that covers this topic:

We know that the Moon has a very weak magnetic field. Oddly enough, this is fairly strong evidence that it does not have a molten core. Rotating planets or moons with molten cores will produce magnetic fields through "the dynamo effect." In a planet like the Earth, the molten core can flow freely in a process called convection. In addition, the Earth rotates, adding to the movement of the molten core. The flowing molten iron-nickel material can produce electrical current, which, in turn produces a magnetic field that surrounds the Earth. If the Moons core were molten , then it would have a field too, though it would be weaker. We only a detect a very weak field, much weaker than that expected from the dynamo effect.

Since small "moonquakes" have been measured, which probably originate in the core of the Moon, it could be partially molten. But for the reason described above, it can not be totally molten.

Much of the information in this reply can be found in Michael Seeds' _Foundations of Astronomy_, and probably several other astronomy and geology books.

Steve Bloom
for Ask a High-Energy Astronomer

I went ahead and highlighted the information for you so you don't have to struggle with all the big words.

[houeto]

Of course, the Moon (presently) rotates in the same direction as it revolves, and it is gravitationally locked into a 1:1 synchronization because the "tides" in the formerly molten rock have cooled and solidified, and the resulting elipsoidal shape is permamently oriented with its major axis pointing toward the earth.

I went ahead and helped you too.

[WildTurkey]

Now this is where you begin to stumble. I found a site written for pre-teens (so it should be right up your alley) that covers this topic:

The response was written to a third grader. Perhaps you are assuming too much.