I think
Minnie is sweet, but
May and
Rose are super filler-y, and
Minnie May is way too cutesy and informal.
Billie Joe Jason makes me cringe a little bit, because of the blatant reference to
Billie Joe Armstrong (I'd assume that even without your signature!). I'd assume the parents were terribly young and perhaps hadn't made it to college/university. Planning to name your child entirely after a living celebrity is a very "young" thing to do, I think, and I always worry about quite how much the parents will end up regretting it.
Ottilie
http://www.behindthename.com/pnl/116467