K so I’ve been dealing with this problem for the past couple of months where all of the sudden my laptop just stopped starting up after being shut down, or even just closed and put into hibernation mode. I’m really unsure of the exact cause of this but I suspect it might have to do with its age…
This was happening to me a lot too with my desktop, it was the same age and the same things was happening.The desktop wouldn’t turn on at all and I went to Best Buy to get it backed onto a flash drive.(took about a week? You might be able to get it in 2-3 work days), while getting a new laptop.
I wish I had better advice though for getting your desktop to at least turn on long enough to get what you need. I think you’d have to go around to some computer repair shops and have them look at it, but I really don’t know if it’d be possible to get the new parts you’d need to replace it in time. I would call them up right away to figure this all out.