Fortnite Stats.
Fortnite API is a free Games & Comics API that requires apiKey authentication, is served over HTTPS and has unconfirmed CORS support.

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Yes. The Fortnite API is listed in the Games & Comics category of the public-apis directory, which only includes APIs that are free or have a free tier. Check its documentation for rate limits and paid plans.
Yes. The Fortnite API uses apiKey authentication, so you need to register for credentials before making requests.
CORS support for the Fortnite API is unknown. Test a request from the browser, and fall back to a server-side call if it is blocked.
Yes. The Fortnite API is served over HTTPS, so it's safe to use in production.