When you plug it in, does the computer recognize it's attached? If so, then it's turning on, so the issue could just be with the display. If the computer isn't recognizing it, the issue could be with the USB port, and maybe the earlier issue with the lines on the screen was an indicator it wasn't getting enough power.
I've had my Model One for about 5 years, but I switched to a ColdCard and a Passport a few years ago, and have only been using my Trezor T2 for Monero ever since. It's been a at least two years, maybe more since I've plugged in my Model One.