Awesome phone had it 2 days also on 3, very happy with it after 8 years on Windows mobile.
Yeah battery life pretty poor, though same can be said of most smart phones, just requires tweaking of settings, some apps available to help, will consider spare or extended battery in future.
No case or screen protector in box am afraid, though did discover it comes without sim lock

Also just nearly hit the fair usage limit in 2 days using the free Spotify account, rang up to complain, said what's point in supplying Spotify if I can't use it, that and a fee YouTube vids, also pointed out t-mobile never considered my usage heavy and got 2 gb data add on free for duration of contract