The only first-gen S!K i have left is my GSO-10, i could work some of the perimeter on that for you if you'd like some photos of how I have done it on other knives. But here are a few tips I have to offer:
While the dremel is great taking off a lot of material in a tight curve or for giving a any a surface a final oing-over with a scotch-brite wheel, it is NOT my first choice for taking out the laser-marks on a long section. The reason is that those laser-marks, while shallow, are sufficiently deep that it takes a pretty coarse grit to smooth them away efficiently, and the dremel is designed to only work small sections at a time. You would want to make sure the dremel is
fixed (like in the Dremel "workstation") so you can exert careful control on the knife as you pass it along the spinning abrasive drum making sure not to let it sit too long on any one spot. A better choice is to use the long flat surface of a sanding belt wherever you can (I have an HF 1x30 that i use), or at least a wheel of wider diameter than a dremel provides. Once the marks are pretty-much gone, you can go over it with the dremel with a scotch-brite to polish it all up.
I suppose that if you wanted to do it by hand, you could use an extra-extra-coarse stone (<120 grit) to wear flush the steel and then polish it up afterward, but it's going to take a while
TRfromMT
probably will have better tips, being the resident Master-of-Handles