Cool, I like the idea of having a questions list on hand in case you get stuck.
I'm not sure if you are looking for critique, so apologies if this is not what you're after ...
2 general comments,
-most of the questions are broad in scope and make assumptions about the world. I prefer to start with small and personal details, use their answers discover their Apocalypse World. don't decide beforehand that there are Wastes, that people judge direction by North and South, that there are Cannibal Hordes,
-leap forward with named NPCs instead of asking the players to come up with them. (I explain why down below)
1. (To Hardholder if present, otherwise to all players) - What is your hardhold named?
first find out what it smells like, where the hardholder sleeps, what they hang on their walls, where the hell DID they scrounge that vintage wear? Let the hardhold unfold, the name will happen.
Who is your number 2?
great question, I'm totally stealing this, but don't just ask who's your number 2. Do something like this.
MC: "Who do you trust more, Balls or Roarke?"
HH: "Totally Roarke."
MC: "Roarke huh, do you trust her enough to give orders when you're not around?"
HH:"No, I don't trust her THAT much."
MC: "How about Princy?"
HH:"Yeah, Princy's my man."
MC: "Cool, so what's your problem with Roarke?..."
this is "leaping forward with named npcs" later when I do the same for the gunlugger's roomate, mechanic, lover, or whatever, you can bet Balls, Princy, and Roarke will be at the top of my list, this is "creating PC NPC PC triangles"
2 - You look out to the North/South/East/West, over the post apocalyptic landscape - what do you see?
I like to ask them about the view from some landmark they've established, 1st session is a day in the life, so what is the view from their bedroom window? I would also avoid using the words North, South, East, West, let them figure out how they find their way around.
3.- Yours is not the only Hardhold around - what are the others? Which ones do you need and which ones do you hate? Why?
4. A threat lurks out there in the wastes - what is it?
don't use the word threat, everything that is not a PC is automatically a threat in AW, When I run a 1st session there are no wastes until a PCs puts them there.
Lets say later you establish some wastes, or jungle, or whatever,
5. What do you fear the most? The weather? The night? Hunger? The Cannibal Horde? The unknown?
It is really tempting to start making monstrous factions right off the bat, I would avoid this, AW is about people and relationships.
Also I would in general avoid using pre-defined terms like cannibal hordes or the wastes, try instead making up something new like, The Glow, or the Scull Dogs, let THEM decide what the hell you're talking about.
6. Someone in the community has their own independent power base. Who are they? How did they manage to achieve that? How do you feel about them?
7. Someone in the community is a good soul - somehow the Apocalypse hasnt ruined them like the rest of the world - who are they?
8. What is left of the World Before? An old person? A building? A resource? A tradition? A danger?
9. Is there a Future, or just the Here n' Now? What do you see yourself doing or having in a years time? A decade?
10. What do you want to change about the world or your situation? What is your plan to do that?
These questions are great, but I would misdirect, ask them through other NPCs, or let them emerge naturally through play.
hope this helps!