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An entry object contains a method called "IsMine()" which returns true if that entry belongs to the player. You can use this to query the player's ranking.

Hi!, does a maximum of a 1000 entries for an example mean there is room for a 1000 people to have a spot in the leaderboard and then no more people can join, or does it mean that the top 1000 people with greatest score get prioritized and get to have a spot on the leaderboard and can overwrite previous entries?

Requesting just your own rank seems to be a regular feature. Because players tend to focus more on themselves than on the top 100 on the leaderboard! And I strongly recommend that you support this feature. Although it seems to work at the moment, it is too restrictive.