Please do not post the same subject multiple times. I have deleted your other thread so that everyone can respond here instead of two places.
If you have never worked with 1200 grit sandpaper or finer, then I highly recommend you practice first so you can get a feel for it. Used to use 1000 thru 2500 grit to remove orange peel in the clear coat of my Corvettes back during my mid-life crisis (as my friends called it). So I have some experience doing this kind of work.
It is very tedious work and it isn't something you should rush. In fact if you feel like you are getting bored, walk away until you aren't. And if you apply too much pressure or slip there are no do overs. I would recommend you keep a vacuum cleaner around because of the fine dust that will be generated. Basically you will be removing the anodized coating. If you find after you are done that it isn't shiny enough, continue using finer and finer sandpaper until you get the sheen you are looking for.
And the video is very correct. If you do the front side, remove the screen. Don't chance scratching it. Also if you see the dust forming on your fingers, wipe them clean before touching the screen to avoid even the possibility of scratching the screen.