I remain to be convinced this is Coleophoridae or Coleophora (genus) given the recognided Australian species in this family or are few and I see none online classified as such similar to this specimen. But yes, family Coleophoridae, is in superfamily Gelechioidea (AFD). Here on NatureMapr Coleophora alcyonipennella has been correctly allocated to Gelechioidea. I'm not sure I see the dark spots on this streaked specimen which are similar to Coleophora serinipennella.
I definitely agree your mating moths are Lactura (genus) of which there at least 25 named species. However there are several species which look similar to L. parallela. I'm not 100% sure this mating pair is L. paralla[a which seems to be strongly marked with parallel darker lines on the forewing.