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I developed the NEF with RawTherapee and applied very high contrast in GIMP and the grid is not reproducable. dropbox.com/s/qlpv83c4a3kremx/… I suspect, therefore, that your grid is related somehow to the software you used.
+1 for rejection stacking. I see starlinks in a few sub-exposures but they are eliminated in the final image. I have no plans to give up astrophotography.
I strongly reccomend that you use this instead: thousandoaksoptical.com "Used by NASA aboard the Space Shuttle. Other professional users include: ABC, BBC, CBS, NBC, CNN, NOVA, The Discovery Channel, National Geographic, and most major universities and observatories throughout the world." I use and endorse thier product. I had no damage to my Nikon D800 sensor or otherwise in the August 21, 2017 eclipse here in the USA.
As the camera faces the subjects, the flash is to the left and very slighly above the lens. As such, the flash will leave a shadow to the right. It doesn't matter which eye was used. It only matters that the flash is to the left of the lens as the camera faces the subjects.