Cool idea! The Super Famicom port of Wing Commander has a full-color manual which shows the Kilrathi aces. I'm attaching a crummy iPhone photo of Bhurak -- I can get you a nicer scan on Monday when I'm back at work, if you're interested. Basically: his face is orange with a cream muzzle and yellow eyes and he's wearing a gold helmet.
Caxki is his clan. I don't think the particular clan were ever developed to the point of knowing their specific fur colors, but it would be solid or an ordered pattern (rather than mottled, like a commoner).
I don't think there's any connection with Star Wars in Wing Commander's case. It is a common name in Star Wars because it was Luke's family name in the original script... and, for whatever reason, licensed stuff likes to refer to behind-the-scenes material in a completely unrelated matter (ie, there's no *reason* the fellow in Force Unleashed is named Starkiller... it's a shout-out for the sake of having a shout-out).
He seems to be -- but do they ever actually call him this in the game>? I can't remember it.