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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
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See the notes, the score being a single digit is guaranteed.
Yes, you are right. The description and the solution covers only the years and centuries AD.
The century 1 contains the years 1, 2, ... 100 AD. The description does not specify the format of years BCE or centuries BCE. Some notations are "-1", "1 B.C.", "1 BC" or "1 BCE". A correct solution without a description of the year/century format is not possible.