The future anti-ship missile of the ADF remains up in the air. The missile you mentioned, the Kongsberg NSM, is one such potential contender, although there is a air-launched variant being designed for the F-35 by Kongsberg and Lockheed-Martin (I think?) called the Joint Strike Missile or JSM.
Other possibilities include the LRASM, whatever form that takes in the end. I suspect the LRASM will end up being the more capable of the two, from the information I've seen on the weapon's desired capabilities. There's also been talk of an upgraded anti-ship Tomahawk variant too, though I've heard nothing about the ADF being interested in such a proposal.
Short answer, I don't know, but I suspect the above will make up the contenders with the most potential.
The weapons mentioned above generally fall into two categories, 'internal' and 'external' carried by an F-35 (not to say that there isn't justification for both).
The Norwegian JSM (based on the ship launched NSM) is capable of being carried internally on the F-35, there has also been 'fitment' trials of JSM on Super Hornet in the US (not integration or test firing), so JSM is a weapon that can potentially be used by both F35A and F/A-18F, internally on one and externally on the other.
On the other hand, LRASM is based on JASSM / JASSM-ER, and both of those can only be carried externally on F-35 (I believe they are too long to fit in the weapons bay), obviously due to their rather long range external carriage is not necessarily an issue. Whilst we have integrated JASSM on the Classic Hornets, we (and I believe the USN) haven't integrated JASSM onto the Super Hornet.
The other weapon that might also be considered is JSOW, which is currently used on RAAF F/A-18F's and will be able to be used internally on the F-35, but the one issue, of sorts, with JSOW is that it is not 'powered', it is a 'glide' weapon with a max range from high altitude of reportedly around 130k's, but much shorter from low altitude.
There is a US proposal to produce a JSOW-ER (500k+ range) which will be 'powered', all within the existing airframe and if that upgrade does happen then it should also be an internally carried F-35 weapon.
It all gets rather confusing doesn't it?? Some of the possible choices are USAF weapons, some are USN weapons and some are Euro weapons!
The other interesting thing about LRASM (derived from JASSM-ER) is that it has also been test fired from the USN's ships using Mk41 VLS and has the potential to be the USN's long range anti-ship missile replacing or supplementing Harpoon (it may also be developed for sub launch too).
It's going to be interesting in the years to come when the F-35 starts to enter RAAF service (the AWD's, Future Frigates and Collins replacement enter service too) as to what the anti ship weapon (and land strike weapon) will be.
