I had some time and a new official TurboExpress AC adapter to use (my first!) so I got to work.
First pic: Old internal power plug removal, or what was left of it. I had to take an exact-o knife and cut a square out of the rubberized glue they used which was covering the vias. My sunglasses added for scale, see the cleaned out vias on the far upper right.
New part soldered in, you can see the sound cap fix wires, and (maybe) the screen cap fix too:
A final picture of the part in use!