Try deleting the whole "Dolphin Emulator" folder (if you have memory card file saves, take them out first!). Then run Dolphin again, all the original files (along with their respective folders) should be recovered. Post the results once you do that.
Rig 1: Windows 10 Home | AMD A6-1450 @ 600/1000/1400 MHz | AMD Radeon HD Graphics 8250 | 4GB RAM | HP Pavilion TouchSmart 11.
Rig 2: Windows 10 Pro | Intel Core i7-2640M @ 780/2800/3500 MHz | Intel HD 3000 Mobile | 8GB RAM | Dell Latitude 6320.