there was a lot of advice available, but never a solution.

How would the previous sentence be correctly capitalized?
Answer: There was a lot of advice available, but never a solution.
in some cases it has also been possible to open up large areas with digging machines and carry out proper excavations. this was the case when the gog handball club built a new sports hall in the middle of gudme. archaeological excavations revealed that the people of the iron age also chose to build their halls here!

How would the previous sentence be correctly capitalized?
Answer: In some cases it has also been possible to open up large areas with digging machines and carry out proper excavations. This was the case when the GOG handball club built a new sports hall in the middle of Gudme. Archaeological excavations revealed that the people of the Iron Age also chose to build their halls here!
the patriarch and constable from la danse macabre in paris.

How would the previous sentence be correctly capitalized?
Answer: The patriarch and constable from la Danse Macabre in Paris.
this, however, led to problems over the fact that blackwell was a black african american.

How would the previous sentence be correctly capitalized?
Answer: This, however, led to problems over the fact that Blackwell was a black African American.