However, even for me, the unlabeled buttons were confusing (both the unit actions and the buttons on the side).
And I would have wanted some way to show an info panel for a given unit describing what the unit can do, its strengths and weaknesses, etc. Indeed, I tried several interactions in the hope of getting one. I tried clicking a unit and then moving the mouse to the box at the bottom (the one that appears while you're mousing over the unit and shows the unit's name etc.; I was hoping that clicking the unit would make the box not go away after the mouse left the unit). I also tried clicking the unit and then clicking the info button on the right, as well as right-clicking the unit. Just mentioning this as weak evidence for what kind of interface users might consider intuitive, if you do add such a feature.