Can't upgrade Macbook Pro (early 2013) to Mojave

I've been trying since October of 2018. I have tried many, many times. It will not upgrade to Mojave (or High Sierra). No errors or anything, just after restart nothing happens.

I suspect I'll get simple replies to do "X" that won't work, I don't expect to get help here, but I'm starting to adventure out to resolve this (and since Apple doesn't let me schedule Genius Bar appointment for this issue, this is my next step).

I have tried to upgrade to High Sierra in the past as well (I have the 5.21gb installer in my Applications folder from Nov 20 2017) but I think whatever issue is affecting any macOS upgrade.

I tried to upgrade to Mojave using the App Store "Open" method, it downloads and shows the progress bar, says 14 minutes, and then asks me to restart. I restart, the computer boots fine, and then nothing, no upgrade, no indication of anything.

I've also downloaded the installer, the "Install macOS Mojave" 6.03 GB installer. I've tried disabling password on startup, disabled sleep and screensaver, sat at computer and moved mouse just in case...I don't know what else I can I do.

Every indication is that it downloads fine, starts the installer fine, restarts, and then nothing. I can't upgrade to High Sierra or Mojave, I'm stuck on Sierra.

See images for screenshots. Looking at the compatibility webpage, I don't see anything that would prevent this machine from upgrading to either macOS version.

Macbook Pro (Retina, 15-inch, Early 2013)

2.7 i7

16 gm memory

250gb HD, with 90gb available