A: Think of Events as similar to Creepers. When you draw them on your turn, you have to play them immediately, and this doesn’t count as either your Draw or your Play. So if you’ve drawn one, you get to redraw. If you acquire the card some other way that wasn’t drawing (like pulling it out of the discard pile via a Rewind), there’s no “replacement” draw you need to make.
It’s similar to this situation:
Q: When I use Zap A Card on a Creeper, do I get to put it in my hand, then play it and draw to replace it?