Green Leaves by Audionautix (audionautix.com) is part of the RU-vid Audio Library (ru-vid.com...) and it's licensed under a Creative Commons license (creativecommons.org/licenses/....
There's another problem with similar lathes. The thread between spindle and faceplate. The faceplate can wobble while cutting. I cover thread with epoxy compound and fasten faceplate and know a can cut with greater speed!!!
Nice job, definitely no need for the top slide on a small machine, even on bigger machines the top slide is a weakness, like your oiler! I have the same syoss bottle borrowed from my wife lol.
Thanks for the video. The mistake you made was lubricating the the tool post bolt, instead put a piece of plain paper between the tool post holder and the mount.