Biggest blunder?
To understand my following comment first you have to realize that the Moon doesn't actually revolve around the Earth. Both the Earth and the Moon revolve around the center of mass of the Earth/Moon couple, which happens to be inside the Earth's crust but not near its center.
In this movie, the Brown Dwarf fragment embedded inside the Moon makes it suddenly more massive than the Earth. If the Moon remains in an orbit after the collision, the Laws of Physics would dictate that both the Earth and the Moon would immediately begin to revolve around a new center of mass, this one much closer to the Moon than to the Earth. In essence the Earth would now be almost revolving around the Moon.
This isn't intended to be a harsh criticism of the movie, moreso because over the years our schools have "dumbed down" science and everyone should realize this. It is just a realistic way of looking at the world around us, to understand a bit of the Science and Physics involved.
However there may be an even bigger blunder. If a fast-moving object more massive than the Earth embeds itself in the Moon, I suspect it would not remain in any kind of semi-stable orbit.
TxMike
Make a choice, to take a chance, to make a difference.