…We had the Basic Rules in play, and I had the Computer, so I would be drawing 2 on my turn. If the first card I draw is the Creeper Malfunction, does it immediately attach to the Computer, thus eliminating my extra draw? What if it’s the second card I drew, do I NOT get to draw to replace the Creeper?

A: Not everyone draws their cards one… by… one… in fact, the draw phase should be considered one simultaneous acquisition of your Draw allotment at that time. So you should draw 2 cards. Then, seeing that you have Malfunction, you should put it down and, yes, redraw, as you need to complete the draw phase in its entirety as defined at the time you started it. Then and only then do you have to worry about exactly what your Malfunction is going to attach to.

In short:
According to the game-state when you started your draw phase, your Draw allotment (the Draw rule for you) is 2 cards.
So you draw 2 cards, and if there’s a Creeper among those, you put it down on the table and redraw until you have drawn 2 non-Creepers.
Then you attach the Creeper if applicable.

Now… later in your turn, if you increase the Draw rule, you’ll have to take a look at your current Draw allotment for your turn, which no longer includes a mathematical increase to your draw. So if you go from Basic Rules (Draw 1) to Draw 2, you’ll take a look at how many cards you drew for your turn, and conclude that you’ve already drawn 2, so you don’t get to draw for the increase.

The situation is similar to this: It’s just as though the Draw rule (for you) at the beginning of your turn is Draw 2, so you get to do that. Then Malfunction effectively reduces the Draw rule (for you) down to 1. Well, you’re not required to “undraw” that extra card you took, but if the Draw rule then increases back to 2… well, you’ve already drawn 2 on your turn, so you don’t get to draw extra. (Or if you increase to Draw 3, then you’d only get to draw 1 more, since you already drew 2 on your turn.)