In sporting events, whoever is filming will originally own the copyright. Unless they agree by contract to sign it over to FIRST (or whoever is organizing the event) in exchange for paying them to be there to film and broadcast it.
In the US, if you were to film a FIRST event, you own the copyright to your material. Same with any sporting event.
http://www.lexology.com/library/deta...1-957947b64a31
As far as the streaming goes, NASA generally doesn't exercise its rights on copyright material.
See:
http://www.nasa.gov/multimedia/guidelines/index.html
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