Negative, I am a meat popsicle.
About the first question, We did not play that the person got to take another card becouse the quantum cube was placed during the card phase and not the action phase. And the rulebook states that its what you achive in the action phase that is determin how many Cards you get to take in the card phase.
So no extra card would be taken.
In the rule book it says under "Dominance" that "During the advance cards phase of your turn, you will select one advance card per quantum cube you placed during the turn."
Players pick up cards in phase 2 of your turn, so it's still your turn, which would mean you would be able to pick up another card after you place the cube.