A: The “Immediately redraw” is only for if that person has DRAWN a Creeper (or was dealt one at the beginning of the game). The idea is that, if you’re drawing, you are drawing to get a non-Creeper. If you get a Creeper, you are required to play it immediately, and because that draw-play acquisition was involuntary, it doesn’t count as a play or a draw for you… so you get to try again for a NON-Creeper. If you’re just taking or receiving a Creeper that was already in play somewhere else, you’re not attempting to execute a draw, you just get the Creeper.
Another way to remember that this is how it works is to note that it says REdraw. If you didn’t get the Creeper by Drawing, then you can’t REdraw.