NOAA CO-OPS
US coastal tides, water levels, currents and meteorological observations
Weather and weather webcams.
ODWeather API is a free Weather API that requires no API key, is only available over HTTP and has unconfirmed CORS support.

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US coastal tides, water levels, currents and meteorological observations
Yes. The ODWeather API is listed in the Weather 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.
No. The ODWeather API requires no authentication, so you can start making requests without signing up.
CORS support for the ODWeather API is unknown. Test a request from the browser, and fall back to a server-side call if it is blocked.
No. The ODWeather API is only available over plain HTTP, which browsers block on HTTPS sites. Call it from a server instead.