The flag fluttering: Eplanation, true, there is no wind on the moon, but you do not take into accout the solar flares which can act like the wind. When a bomb explodes, it amits a shockwave that acts like a gust of wind. A solar flare is more powerful than a bomb, thus the flare produces a stronger wind-like affect on the flag.
No direct hookup? Please, It was the sixties, you can't expect much.
Multiple shadows, like i said, there is more than just one source of light in space.
The cold war, what an excuse. No fighting really took place durning the cold war. Besides, treaties were signed that decreased the tension between the US and the USSR.

I read the article, it did not convince me. Everything has an explanation. The moon landing was real and not a hoax.