Yes, try cape cod; you can search on youtube for videos with details Sent from my iPhone using Tapatalk Pro
I would leave the battle mark as is, it wont be the only one. We are getting used to looking at watches with a magnifying glass. Let it breathe and only lightly have it touched up during a service to limit the constant buffing...
As mentioned... A cape cod polishing cloth works great to remove tiny scratches. Anything deeper, you'd have to take it to a well trained watchmaker or the manufacturer to have restored. Also as mentioned... One scratch is going to hurt, but it will hurt even more if you decide to polish it out (each time you're rubbing away the metal from your watch) and another inevitable scratch appears.
Cape Cod works well. If you've scratched it and not happy, polish it it out; You'll be long gone by the time someone looks at it and moans it's been polished!
Use Cape Cod. Don't go crazy but it works really well. I did it on my 300 master coaxial. I touched up the PCL on my bracelet but I did not go too much. I went light on the polish and I figure 6 months I'll re polish again.
Sure, you can polish out the scratches. Take it to one of those little kiosks / booths in the mall and let the kid there do it. Who needs those pesky crips edges on the case anyway?