The way I read this was "Fuck you, it is Christmas and we don't care about you"
You /do/ realize that most businesses in the US are closed for Christmas, and many are functionally closed for the few days before and the week through New Years? It's not entirely unreasonable to believe that their suppliers are actually closed for the holidays.
Further, the mail system is badly overwhelmed during the few days leading up to Christmas, and the last thing I'd want (personally) is a shipment of metal sitting around in the mail system over a holiday, or getting run through when there were a lot of seasonal workers hired for a few weeks to move packages.
I want you to know that I talked with the Sheriff last night and we will be making an official complaint on the 31st if this is not resolved. We will then be making a complaint with both the attorney General of Missouri and Colorado. After this we will take your company to court and seek damages.
... so after a week with businesses being closed/low staff, you're going to file a POLICE REPORT for... what, exactly? Give them a chance to fix the issue. If they have to order more coins (which it appears they do), then it may take a bit for them to resolve it.
Damages? The reasonable "damages" would seem to be "If 15 coins were packed, send another 10. If 25 coins were packed, get insurance involved because they went missing somewhere in the mail system, and figure it out from there."
"It's Christmas and I don't have my stuff, and if you don't fix it by New Years I'm going to get the police involved!" is pretty damned unreasonable, IMO.
The fact that you could careless about your customer, after you made a mistake and then lied to him is just beyond what a normal human being would do. You should have spent the 15 mins resolving this because you will now have to spend countless hours/days trying to defend your criminal fraud in court.
Where, exactly, did they lie to you? Further, I've yet to see anything that actually looks like "criminal fraud" yet... I see a petulant, somewhat irrational buyer who is demanding unreasonable things, though.
It takes time to dig up tapes, find when your order was packed, talk to the people who packed it, etc - especially if they're on vacation for Christmas (as is quite common in this country).
Edit: You also lost a few 100k in orders over the coming year from myself, family and friends. They will never deal with a company that acts this unprofessional. This is beyond belief.
I can't speak for Amagi Metals, but I do sell some fairly custom, expensive hardware (see my sig). We've had issues with some of it being damaged in shipping, and when we have to replace hardware, it can take a while to get the replacements to the customer as we don't keep a huge inventory of parts. If I were dealing with a customer like you, I'd be glad to not have your orders in the future. I much prefer dealing with people who understand that things happen, and while we'll make it right, it /takes time/ to resolve things properly.
Further, if I were in your shoes, I'd post about the issue, but not copy/paste the support emails into the thread for a blow by blow unless things didn't get resolved for a substantial period of time. You're not coming across as the more rational side here.