Nice pics, Beta. Does the Bianchi have bolt-on wheels or QR? With rear-facing dropout, you'll have to break the chain to fix a flat, right? Unless the dropout is long enough to slide the wheel forward, slip the chain off the chainring, and then slide the wheel back and out. Make sure you know the right amount of slack to leave in the chain when you reattach the wheel. I read Sheldon Brown's "dangers of working on a fixie on a stand". Be very careful.
You mean the pics of the missing finger tip? It does have bolt on wheels. I'm not sure yet about changing out the back tire and chain situation. Once I get the chaing put on correctly (LBS is doing that), I'll practice taking it off/putting it on at home. I've learned not to start the learning curve while out on the road. The hard way of course.

I'll put up a pic of the brooks. I don't know how old it is. It just looks that way. The guy I bought the bike from said the guy who he bought it from put it on there. So there's 2 degrees of separation in what I know about it. I'll look for a model, etc.