Overall, I like this proposal. We'd obviously have to decide how many officers would be needed and what they'd specifically do, but that shouldn't be difficult.
As for the monarch veto, I trust Wintermoot, though I personally feel a 3/4 supermajority would be better in case it were needed. I just don't think an absolute veto is necessary. It would require a ridiculous number of people a ridiculous amount of time to overthrow Wintermoot or destroy the region with a 3/4 supermajority.
Also, I like the idea of a prerequisite to vote/hold office, whether this be time/activity/involvement, though I'm not really sure of what specifically that should entail.
By the way, what's with terms starting in December rather than January?
Probably a silly question: whenever you mention 2/3 or 3/4, does this refer to a fraction of the whole Storting, or just those who voted on a particular law?
And here's a crazy idea I want to throw out there: what are people's thoughts on the Speaker being selected by lottery? Or by having a rotating speakership between all members of the Storting? It would obviously have to have mechanisms in place to avoid inactive members and members who do not wish to serve.
I believe the answer to your first question is that the fraction refers to those who vote on the veto.
I have suggested in my proposal (which I should probably update soon) the idea of legislators drawn by lot, but in my proposal they only last for the duration of the discussion/vote of the law. The problem with it in this proposal is that the term lengths are 3 months, which is kind of long for something in which the member did not prepare for by running. Also, as you said a mechanism would have to be put in place to avoid inactive members, which may be pretty difficult, considering half of Wintreath's citizens have not been active in the past month.
So if we were to draw by lot, there would probably have to be reduced term lengths, but I don't think much gets done in any time less than that. We're already almost done with this term, and not much got done (the elections took up a quarter of the term).