Presumably, the police need a warrant unless you volunteer it. The insurance company may need to subpoena the footage from you or you may be required to turn it over as a condition of coverage (I have no idea if any company is actually doing this).
Probably, but then what? The person I'm replying to stated that they "have no way of tapping into it and storing it", and I don't think that changes suddenly if there's a court order.