An Honor Unit w/ Distinction is basically a "grade" for your unit.
Every other year there is a formal inspection and the years in between there is an informal inspection of the unit.
The inspection is out of 100 points and depending on the number of points of your unit receives, you will know whether you are a HUw/D or not.
Talk to your unit instructor.
You can also tell what you unit is according to the color of your unit star.
For example, if you wear a gold star on your uniform, then you are an HUw/D
Every other year there is a formal inspection and the years in between there is an informal inspection of the unit.
The inspection is out of 100 points and depending on the number of points of your unit receives, you will know whether you are a HUw/D or not.
Talk to your unit instructor.
You can also tell what you unit is according to the color of your unit star.
For example, if you wear a gold star on your uniform, then you are an HUw/D