1) You can operate a B-RNAV departure which has no conventional overlay (you'll find there is no turn below MSA). You just can't fly a PRNAV departure (clearly says PRNAV on the plate, not just RNAV), such as OKTET 3A (since you're talking about NICE).
2) Yes, there is such a thing as a pure PRNAV sid/star, refer to 1
3) Correct. Must be PRNAV for no conventional nav below MSA on both
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