and one more tip, frequent your local thrift stores, there are bound to be tons of displays capable of VGA that people are donating there, that's how I got the LCD monitor for mine
there are VGA to HDMI adapters on Amazon, and recapping the power supply is doable, make sure to discharge all the capacitors before attempting to recap the power supply, you don't want to get zapped by charged AC capacitors while you're soldering (which can be between 170V and 340V depending on...
I suspect a head crash. Since the drive isn't showing up on anything, open it up and see if you can see any obvious circular scratches as that would indicate a head crash, as that's the only failure mode I can think of that can make a drive delete itself from existence
I'm not entirely sure, but it looks like there was a trace going between the two pads where the break is now, try figuring out how to make the connection back