score:6
It looks like he did spend those years in Iceland. There are a few pages discussing his time there from 1515 in volume 3 of Historisk arkiv (Gbooks), p403-406
De tre nordiske rigers historie under Hans by Carl Ferdinand Allen (Gbooks) pages 143-144 suggests that he did spend time there (without much detail about his stay).
The phrasing of a sentence in Danmarks historie by Ole Feldbæk (Gbooks) p65 also implies that he was based in Iceland until 1517 but then called south to help in the war against Sweden, which is discussed in somewhat different terms in the above Historisk arkiv pages.