It's strange that they'd fight if they've always lived together, are they 18months old? If so she is a gilt and he a castrate, (just being pedantic) the move may have triggered her to come into season, causing her to be snappy and being in new surroundings has upset their routine. I'm sure once settled into a new routine they'll be fine, kunes are delightful little pigs, very docile. What sort of pasture are they on? If its good and lush they'll not need much feeding, mine have a 1lb per day bteween them and fruit and veg, they spend a few hours a day on good grass. If the grazing is good they'll not need much at all, just keep an eye on them, look at pictures on the kune website, it'll give you an idea of what healthy weight looks like. Take some pics if you can to show us.
Also grower sized chickens maybe too small, although the pigs might be used to chickens, the chickens aren't used to pigs, so maybe wait till they are bigger to be introduced, as for the goats they should all mix happily, as long as you keep the feeds separate, maybe let the pigs settle until they are introduced.
