price seemed to be well aware that the recently established insurance and benefit societies were basing the calculations of their policies on erroneous theory.

How would the previous sentence be correctly capitalized?
Answer: Price seemed to be well aware that the recently established insurance and benefit societies were basing the calculations of their policies on erroneous theory.
privacy badger is not an ad-blocker, even though it can be configured to block certain kinds of advertisement.

How would the previous sentence be correctly capitalized?
Answer: Privacy Badger is not an ad-blocker, even though it can be configured to block certain kinds of advertisement.
5.6 cup competition and cup bonus

How would the previous sentence be correctly capitalized?
Answer: 5.6 Cup competition and cup bonus
however there are many other irregularities waiting to be clarified.

How would the previous sentence be correctly capitalized?
Answer: However there are many other irregularities waiting to be clarified.