Ok, building a comparable PC will cost nearly the same as what you'd pay for one of these Mac Pro's, give or take a few dollars since you cannot make an exact clone of this thing. The real question, in my opinion, is one more based on cost per performance.
When building out a PC, if you specifically set out to have top of the line, best at the time components you will pay a premium for that. Often, you can get 'the next best' component for a substantially lower price, which would only be a minor decrease in performance. From a performance per dollar perspective, getting the top tier stuff is wasteful.
I suspect that one could build a machine that generally performs 80%-90% in comparison, but cost half of the base model. It would've been nice had Apple offered such an option, but I can see why they wouldn't want to dilute their brand by doing so.
When I first thought of the idea of the printable QR code, I was actually thinking along the lines you are... as an insert to a larger landing zone. I do think you idea is better, having the address information hard coded on the landing zone and having more of an authentication code printout being added per delivery.
Regarding multiple deliveries on a day, or not knowing what day something will deliver, I don't know if such things will be much of an issue when I think of typical uses cases for such a service. I am going to assume that 30 minute deliver will come at a premium price. Perhaps they will end up offering a subscription service like they do with the current Prime accounts. In either case, I imagine that opting to have something delivered that fast would likely mean, or perhaps require, that you are there to actually receive shipment once the drone arrives. I would think if you wanted something that fast, you would already be there in order to make use of said package that fast, otherwise why not just opt for standard 1 or 2 day delivery? As far as knowing what shipment is what, I'd would think its a safe bet to make that drone deliveries would have very accurate, high resolution tracking, perhaps similar to how one can track the location and status of any commercial airliner that you know the flight number of. I don't think there would be a question what is being delivered when. Why not even use its on board camera(s) to stream a private live video of the flight as it approaches your house, assuming there is adequate mobile coverage between point A to point B. That would be fun, at least the first couple times you see it.
As for the bird shit problem, I admit you got me stuck on that one. I suppose there would have to be some sort of backup authentication mechanism in place to handle such incidents. Maybe if primary authentication cannot be made, a photo of your LZ and/or current GPS coordinates on a map are sent to your mobile device app/email for you to approve. It may have to even make an automated call so it gets your immediate attention... I dont know, that is a tough problem to crack.
"Gravitation cannot be held responsible for people falling in love." -- Albert Einstein