First log (datalog3):
Engine was still spinning until 1300x PSI, and it did slowly start climbing. PRV looks good at least until probably 1400 PSI, unless it's randomly sticking.
Second log (datalog1):
Except for the low rail pressure at the start (which could be anything) it looks pretty normal.
Third log (datalog2):
Rail pressure dropping to 40 suggests one of the three main components isn't working properly; either the HPFP internals are sticking, the PRV is sticking, or the spill valve is sticking. Still not quite enough info.
Some things to try:
Ideally:
Have someone local that's as close to HPFP expert status as you can get look your pump over, fully uninstalled. If you don't have anyone to do this for you, this isn't your only transportation, you can opt to mail your pump to me and I will break it down, clean it up and send it back to you at no cost other than shipping. As I'm due for a full HPFP cleaning anyways, I could also potentially run it on my car for a bit and see if it has issues, but this would extend downtime.
Realistically:
1. Pull the spill valve and actuate the pin using your thumbnail. Do this very carefully and see if you can notice if there's a breaking pressure. If it does, it's probably sticking and this can be the cause of the issue. If this is the issue then it will need to be cleaned; this is not for someone with little experience in doing so.
2. After pulling the spill valve, wick out as much fuel and whatnot from down inside the pump as you can; if you have a syringe with a metal needle, drain it fully and manually prime it using Redline Fuel Injector Cleaner (fill the HPFP up to the threads before putting the spill valve back in). If this fixes it, then your internals and/or spill valve were sticking, and you'll probably need to do a full teardown of the pump and clean it. Might also consider changing your oil.
3. Start the car, pull the spill valve connector and log the pressure; it will be running entirely off of the ITFP so any variances will be *exclusively* from that part. Note that you can't hard rev the engine like this, and it's likely to break up after ~3k RPM if you try to drive it like that, but it *will * run relatively reliably at very low loads and throttle levels. I drove several hundred miles like this and it took *minutes* to get up to normal freeway speeds. If pressure doesn't change much, then your ITFP is probably good.
As per your last question, it depends where the zero happens. There was one in your first log posted (datalog3) but I figure that's due to you going key off (AP didn't have data so defaulted to zero).