A way to punish G&W's bair to parachute is jumping OoS and into the draft that sends you upward. Of course, you have to space very well so that you don't get hit by the hitbox and still get drawn up by the draft. G&W has invincibility frames during upB, but at the peak and while he's taking out the parachute you can use an aerial on him, depending on spacing.
Punishing bair in general. Depends on the variation. You shouldn't try to shield it and should try pivot grabbing it or jumping into it and SDIing it to punish. If he full hops the bair, after it leaves your shield shorthop and uair.
When it comes to camping, if you shorhop camp, G&W might be able to dtilt the pikmin before the pikmin hit him due to spacing. Just make sure to aim a little higher and for his head if he's using dtilt. G&W can handle pikmin traveling to his head by using nair, but then his underside is vulnerable. G&W can handle pikmin, but switching your aiming often you'll be able to get some damage on him with it.
When you're in close range, G&W's fastest option is jab, which is 4 frames, the same as ours. Jab is you think he isn't going to shield.
Something I've been wondering. ZSS's jab is shield grabbable if they do the full jab, just like ours. But G&W can't shieldgrab their full grab, due to weight, size and etc. I'm wondering if G&W is also vulnerable to our full jab.
To tech the dthrow, shield right after the beep that G&W's produces when he slams you. Or when you're reaching the last frame where you're shrunken. The shield button has to be hit right before you hit the ground, but you should be able to predict it since it takes a while for G&W to actually throw. Practice it a little. I can tech G&W's dthrow with most characters since I'm so good at it. =p
I'll post some more later, but this is in Oli's favor imo. I've played this matchup on both sides, and G&W's approaches are extremely limited in this matchup.