Before getting to redacted documents on fiche, Kaya could clearly see (if she stopped to read it) all the info about Black Rainbow when she first puts in the large floppy disk and initially finds out about the launch codes (info contained in 4-5 paragraphs that are inconsistently repeated over and over).
When the group power up the generator, Lilly says the fuel will last about an hour. In the main studio, all of the camera equipment and monitors are turned on - no one thinks to turn them off to conserve fuel and allow the generator to work for longer. They even mention the studio being powered up when the generator turned on, but just walk out of the studio.
10K says he found an Emmy, and throws it to Murphy; Doc, without seeing its plaque, knows 'it's only a local Emmy'.