Well, as far as designs to draw from I can only think of the armistice station, Ragnar and Scorpia Shipyards. Armistice station with flight pods might be pretty close to what you want. They still use solar panels on their satellites, so I suppose that's worth noting.
As for the military lab, hm, well there was an idea out there that the Hades were originally Greystone space station things, so maybe something vaguely reminiscent of that, but obscured with colonial equipment. Otherwise, I'd just suggest something that cherry-picks their other design elements. Or maybe all of those: Solar-Panels + Sot13t Attackstar (Colonialfied) + Ragnar Ring haha.