You don't *have* to change the name in your passport if you don't want--your visa will be issued in your maiden name in that case, but it's legal to do so. Mine wasn't changed either, but I just keep a copy of my marriage certificate handy in case I need to prove I'm married. But, if you want to change it, that's okay too.
As for your husband's passport, he can send a certified copy of it if he wants, or his long-form birth certificate and a photocopy of his ID page in lieu of his original. The UKBA also wants to see things like bank statements (at least the 3 most recent months) and paperwork showing you have suitable accomodation (i.e. rental agreements, mortgage papers, letters from landlords/family/the council, etc). They'll also obviously need to see the marriage certificate, your passport, passport style photos, etc etc.
Ninja edit: the link WebyJ posted is pretty awesome, I need to bookmark it on this machine, but it's a very good resource.
I'm not sure if the money you've accumulated from your job so far can be put towards maintenance since you technically don't have access to it yet, but I'm not 100% sure on that point
I'm sure someone more knowledgable about that can explain it better than me.
You technically have 2 weeks from the time you do your biometrics to get everything to the consulate, not from when you applied online. That's why it's best to have everything ready to go by the time you do your bios, since you can pop it in the mail right afterward to send to your expediter, or to the consulate itself.