Yes. From the start of the Nazi invasion on April 9, and
occupation ended May 8, 1945.
I do not know the answer, but there's probably a very good chance that it was conquered.
Yes. Germany invaded Norway on April 9, 1940. Norway lost in 2 days.
Norway capitulated (Though Norwegian armed forces countinued fighting the Germans until the German capitulation the 8th of April 1945) on 10 June 1940, two months after Wesertag, this made Norway the invaded country which withstood the German war machine for the second longest time. Only the Soviet Union provided the Germans with a more prolonged fight.