Actually that's a good image for a 1st effort - well done. Flat Fields will help get rid of the vignetting. I usually take between 3 and 6 Dark Frames and then stack them for a "master" Dark which improves the dark frame subtraction.
The vignetting seems off centre – was the camera mounted off-axis somehow, or is that a result of cropping the original image?
The noise or grain in the image is more than likely the result of only stacking 3 exposures. Try 20 or 30 for better results.
Cheers
Dennis
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