This one might be a good example around airmanship, communications between other aircraft within the TIBA. If the departure aircraft decided to wait until the Jetstar arrival had landed, they also had another one to deal with behind, would have been 15 minutes wait at least. Sometimes you just gotta wait.
Or go off the other runway and climb above arriving traffic like everyone else does. Or coordinate to use the into wind runway if you need it and get the others to circle round for the into wind if that's why they had to use the reciprocal. Seriously who departs opposite direction to inbound traffic and does not arrange separation first. I almost get the feeling that Jet pilots seem to out of their depth if they have to visualize traffic and arrange safe passage without ATC. Worst case the pilots were assuming they could use TCAS to avoid the traffic as it got closer (I don't mean the alerting functions rather the display).