You're correct, but farm cats are given milk as an antidote against toxins within rodents, which they collected by consuming toxic seeds. Sometimes, cats can get used to lactose if they are given milk from young age. I stopped drinking it for some years and now I'm lactose intolerant.
No. I cannot hear the narrow K here, and I think it should only exist where written as KJ . I think the slender K is quite rare in Swedish today, found mostly Icelandic loans ("Kjartan", cf. Irish Ciártan), but I am not entirely sure of this. The sound seems morecommon in Norwegian ("kjøtt"). Swedish also uses J to mark the narrow F and B ("Fjäll", "Björn"). V is always slender, and W always indicates loans, and is often swedicized as a slender V. The Swedish SJ is a bizarre sound, nothing much like an Irish narrow S, whereas SJ indicates something like a narrow S in Danish and Norwegian. NJ is found only in "Njald", an icelandic name derrived from Irish "Niáll". Other consonants are rarely combined with J, suggesting that nothing quite like the Irish narrow P, R, T , L, M or G is common in Swedish.