Dativ should be used in this case, because the word 'Wohnung' is after a preposition. Some prepositions require a specific case, e.g. mit + Dativ or wegen + Genetiv. Other predispositions can be followed by both Akkusativ or Dativ, so called Wechselpräpositionen. Normally, if the verb is associat...

You'd still say Das Weib hat seinen Hut verloren although it's very uncommon today to refer to a women with "Das Weib". You would use "Die Frau" instead. For "Mädchen", Das Mädchen hat seinen Hut verloren would be grammatically correct, although you'll frequently hear Das Mädchen hat ihren H...

There are different ways of saying this correctly. "Wie viele Tage sind es noch bis zum Muttertag?" "Wie viele Tage dauert es noch bis zum Muttertag?" It is rather unusual to say: "Wie viele Tage sind noch übrig bis zum Muttertag?" That would be the literal translation of your suggestion: "ho...