You're right about the eyes. Way too wide. And too white. Try toning the white down with a very small amount of blue or flesh color. Also, you will want to add more highlights and shadows to the flesh tones. Increase the size of the iris to about 1/2-2/3 of the eye socket.In this scale, use blue, brown or green and add a black pupil. You might even want to consider adding a tiny drop of white to show a reflection point.
You have a good start on your shading and highlighting on the inuform, buit you scould use more. One spot that jumps out is the underside of the fold on the right knee. To see where you need more shadows (and highlight) hold the figure under a single light source, like a desk lamp. Also, try adding a couple more values of color to the highs and lows so they blend in better. For highlights on the black leather boots, add some fl;esh to the basic black. Better yet, start with a very dark gray, use black for the shadows and the aforementioned black/flesh for the highlights.
The one thing that really needs to be fixed is the mold line on the head of the grenade in the figure's left hand.