Good(?) news! There is the question mark because it will show in usage but after 3h 40min of grinding by hand I've arrived at very satisfactory outcome. 1. I used very old, kind of, microscope/eyepiece 30X mag. and LED torch to find the thickness of the micro holes - roughly 1mm - 1.5mm 2. I found diamond knife sharpening block (really cheap in our local Aldi store) with four different grits: 200, 300, 400 and 600. 3. Gradually under running water I honed the plate 0.3mm down. Measured with micrometer every so often it came out flat within 0.01mm.
It needed quite a pressure to grind it - hard, hard surface. Initial hardness testing (using sharpened file) indicates that the surface does not scratch at all but it will show in the usage. The other problem is the remaining thickness. One issue is I lost the little dimple that I have no idea what it is for. I think I will try to grind it with finer grit, like 1200. At the moment I am happy with the job - although my elbows need rest :-). The important bit was to keep checking the thickness around the plate.
The power of several minds!
Thank you all. :-)