I agree with you that there are a few too many eye darts in there. I think whenever there's some introspective stuff, like at the very beginning, I feel like you could just have him stare. So from the the beginning until around x80 when he looks up, I would just have a vacant stare onto the table, where he's just visualizing loosing his family.
Eye darts to me are part of a through process where someone is deconstructing ideas or situations, problems, etc. Processing anything.
For the rest of the clip I like it until around x284. After that frame I would go quiet again with his eyes, but in the "pose"/eye direction of x318. Then, after the blink around x364 keep what you have until x476. To me, at that point, it's a stare into the officer's face, looking for sympathy and understanding, but with the current eyebrows, the sadness goes away for me, it's too probing. I think it might work a bit better with just a hopeful stare. Save that version, let's see how a stare would work and then we can compare, I could be wrong.
The eyebrow work is great. My only tweak would be at x476, during that last stare, I would have the eyebrows a bit more sympathetic and sad and less serious to reinforce that pleading and looking for understanding feeling.
Body wise, I would ease into the pose around x126 a bit more, when he leans back. How the body and head come to a stop is just a tiny bit abrupt and I would soften that a bit more.
For your next pass you can flesh out the lip sync and start thinking about the cop.
All in all though the shot looks really great and is a really strong piece! Nicely done!!