I don't see anything wrong with the BB looks, it's simplistic and not overwhelming with content. I believe trying to simulate anything near real looks for players would be a a major failure, I've tried playing a couple games like that and it's simply too artificial for me. I think that's the strategy for most successful games out there, keep it simple you know.
Of course there are lots of improvement points, it could be treated as a long-term project though, taking it as a big project and developing it along with the usual ingame improvements won't hurt the staff and this design won't look good for five years :P
Regarding the iOS/Android App, I believe it's really becoming a necessity, I've got an iPhone now and it's not really painful to play through the browser, could be much better through an app though, but I had a Galaxy 5 a couple months ago and it was almost impossible to do anything, so for people with smaller screens and not so good touch screens an app would be great. I don't know how much money BB is generating, but even assuming it's not much, hiring a nice mobile developer isn't that expensive and it'd take just a few months to have an app running with basic functions like setting lineups, reading the forums and going to the transfer list. And they could get that money back in no time through ads inside the app and selling an ad-less version.
I'm a software engineer myself and I understand a little bit about how an user-friendly game generates much better results, even more when associated with an expanded market like mobile gaming, I believe this really should be a major target now.