the work on mars was essentially completed by 1605, but there were delays in getting the book published.

How would the previous sentence be correctly capitalized?
Answer: The work on Mars was essentially completed by 1605, but there were delays in getting the book published.
a casino gambling machine has different names in america, in britain and in australia. three or more reels begin to spin when a button is pushed.

How would the previous sentence be correctly capitalized?
Answer: A casino gambling machine has different names in America, in Britain and in Australia. Three or more reels begin to spin when a button is pushed.
vii) details of frequent flyer programme, if any

How would the previous sentence be correctly capitalized?
Answer: VII) Details of frequent flyer programme, if any
a better world - part two - 4

How would the previous sentence be correctly capitalized?
Answer: A Better World - Part Two - 4