You certainly pumped this one out fast, Clubbers... Yee, since I already sorta looked at this, it's basically all well and good.
Two small things did catch my eye, though; In the first paragraph of their history, second sentence, I'm guessing you meant coarse, not course.
The second thing is that I'm pretty sure a labcoat is against the uniform policy, especially a messed up one. The Komainu is going to be hectic anyway, but I'm pretty sure those other ships in her history wouldn't have been happy about it. At the very least, it might be worth mentioning that they had to recover that coat personally rather than them getting just given it back... Is it even on top of their uniform, or just a plain clothes thing, come to think of it?...
I mean, Tsuguka is still going to tell them off for it too, but we'll work on that in-RP, heh.
With those changes made, I think it would look pretty darn decent.