I can answer the question of, "what is she holding?"

It's wireless communicators.

At that time, people really, really wanted wireless communicators like Star Trek and Dick Tracey's watch. It was the generic representation of, "the future" for all things pop art.

Why was she holding them like that? To represent the concept of these three machines communicating with each other via her wireless control/communicators.

"Prismatic" transfers of energy/information was actually a common trope in sci fi and computer book art all the way into the 1990s. Watch some old black and white sci-fi TV shows and you'll see beams like that everywhere.