Your big blue, fuse block, and rectifier are all working fine. The 10.3 runs high, that's normal. It should be between 12 and 15V, and higher is actually better, because it means your power system is ok. (When it gets down to 12V or lower, it usually means there's a dirty connection somewhere, either the fuse block or elsewhere between the brick and AR.)
That wire on the rectifier is all that needs to be fixed. I'd keep everything else original, and save the new big blues for a game that actually needs them. It's common for wires on the fuse block and/or rectifier to get burned up, because those slide-on connectors get oxidized and go resistive sometimes. It's common.
The best way to fix it is to just eliminate the slide-on connectors, and solder the wires to the rectifier tabs. The rectifiers don't fail that often, so if and when it ever does need replacing, it's simple to just desolder the 4 wires and replace it. But soldering the connections will ensure they never oxidize and go resistive.
You may need to replace any wires that are burned up, as those don't tend to take solder well. Just use the same gauge.