I'm not sure about the popup, but the key doesn't actually appear in your inventory; it just adds back/forward arrows on the left once you restart. Does one show up after the first screen?
roundlove
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From the looks of the file, no; you can't get the gum without asking for a demonstration, and doing that cuts off the menu where you can ask Wonka to move to the next room. Apparently there was a "no takers" outcome at one point, but even if it was implemented, you could only reach it if Hannah already got a bad end.
As it stands, even if you could grab the gum without any blueberries leaving the room, it still wouldn't be with a full party.