A: Yes, you are allowed to LOOK at your hand, to consult it to see what your best play is from the cards drawn from the action. Your hand is not invisible, it’s just inaccessible.
The main reason we have people set their hand aside is so that they don’t think those Action cards mean they can draw cards, add them to their hand, then play any two cards from their hand (and discard, depending on which Action you’re talking about). So feel free to pick up your set-aside hand and look at it, just keep the cards drawn for the Action separate.