After having two calls with baggage service I finally found out that one of my luggage, presumably the bike, never left Paris on my flight. It was later sent on to Auckland via Seoul, and is currently still in Korea. The other bag never got transferred from my Air France flight to the China Southern flight in Guangzhou. I feared that might happen. That’s why I asked twice if my luggage was really being transferred when I arrived in Guangzhou. The answer was yes both times.
Air NewZealand service has now requested that bag to be forwarded to Auckland.

At least I know that my things are in transfer somewhere now. In the meantime, I’m using my spare time to visit the Shire. I took a bus to Rotorua and am staying at Rock Solid Backpackers tonight.