Ref the EK sector of your trip …….. it’s a tad frustrating sure, but I honestly don’t think you’re missing out much for such a very short sector (could very well end up as less than 3 hours actual flying time) and the J seat + facilities will be pretty good. I’ve been lucky enough to enjoy many excellent F trips on EK long-hauls, mainly UK to Australia but also short hops from Oz down to NZ and it’s only on the lengthy sectors where you get the full F class ‘experience’ (though perhaps other EK regulars take a different view)

As for compensation over & above the refund offered : I very much doubt you would have any success at all ….. really not worth devoting any time / effort on that score !

Bon voyage