Good luck for your medicals, Kate. Hope it goes well for you.
Yes, carrot cake

. I've had a problem with that when I've been in NZ. I think I'll have to undergo aversion therapy before I go to live there or my derriere won't fit in through the doorway. Banana cake is another peril I have to negotiate.
It is comical how INZ only let low-fat people into their country. I realise it's to stop more pressure from coming to bear on the health service, but do they honestly think that some people, having slimmed down especially for their medicals, won't creep back up weightwise once they've got their medical reports safely under their belts? There is a problem in NZ with obesity, the same as in the UK, but it needs to be dealt with inside the country, not from outside.