How to see Apprentice List?

Sure. It sounds like you don’t know how to use wanikani scripts in general. Explanation is found here: Visual Guide on How To Install A Userscript
I personally use google chrome and Tampermonkey to run scripts.
(you might wanna check out the many amazing scripts out there that make your life a hundred times easier)

For reordering, I use this one here: WaniKani SRS Reorder Button
Though I saw there is now a modified newer version of this script here: [Userscript] Reorder Buttons (I might check that out actually)