I know that greetings vary by gender - so you say "blessaður" to a man and "blessuð" to a woman - but the book isn't quite clear on how far this goes. Is there a gender different between "góðan daginn" and "góðan dag" or between "gott kvöld" and "gott kvöldið"? If not, what is the difference?
Also, I've written a very short sort of "introduction" of myself in Icelandic which I'm hoping someone could pick apart for me. I'm yet to learn some of the grammar I've attempted, such as genitive case, so there's probably a bit of overreach here. Don't worry if it's a bit clunky, since I'm going for intelligibility rather than style points at the moment:
"Góðann daginn! Ég heiti Harry og ég er útlendingur, ég er Ástralskur. Fjölskydan mín er þýska. Ég er að læra íslensku. Ég tala ensku, þýsku og eistnesku."