50 years ago I had a can of 3M red rubbing compound that was quick cutting by hand. These days though, get yourself a $20 foam pad to use in your drill at least or just have a shop do it for you. What you have to do is start with 2-3000 grit sandpaper to remove the overspray and dust nubs. Then use the foam pad with rubbing compound, then progress through the stuff you listed above and finally a polish. You’ll never get the scratches out using a cleaner and trying to do it by hand.
I just bought a quart of Meguiar’s rubbing compound and it was $20+. The other 2-3 products you need are anywhere from $10-15 each, not counting wax. So if you aren’t going to be serious about it and use a buffing pad, just pay someone to do it. The arrows on the product label indicate how fast they cut. The higher the red arrow, the more they cut.