I would also say the image looks under exposed, also the bokeh is good but I would like to maybe see more of the dog as the crop is a bit tight for my taste.
The eyes are also too dark from being in shadow and could do will a boost of fill light in lightroom or similar. WB has already been mentioned as it's a little too cold. Accurate WB isn't also important to be accurate, for instance if you are capturing a warm moment, then it can often look better to use a warmer WB.
Also it's nice to see a catchlight in the eyes if possible, below is an example.
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As for DOF and getting the whole head in focus, imo that isn't necessary as the eyes are the hero in the shot, not the dog's wet nose and slobber on his chops.
Obviously there is nothing wrong with getting the whole dog in focus, but I would only do that if the background adds rather than takes away from the image.
Below is an example of just the eyes in focus.
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