After installing the Function Key Desktop App every single one of the Fn keys worked without pressing the Fn button, apart from Brightness Up and Brightness Down, which didn't work at all with or without the Fn key.
Straight after the Windows 10 reinstall, the Fn keys (volume, flight mode etc) worked when I held down the Fn key, which wasn't what I wanted. I have since reinstalled the AMD graphics driver, the Toshiba Function Key Desktop App, The Toshiba Value Added Package (this only gave me the battery manger and the PC diagnostic tool), so I then manually found and installed the Toshiba System Settings and the Toshiba HWsetup Utility.
I recently reinstalled Windows 10, and so lost all of the Toshiba software that came with the laptop.