So as for our other is-he-available/is-he-not player, first test starts March 6. Vettori would need to play at least two, preferably three FC matches for Northern Districts before he could be considered fit imo (there's also the England vs NZ XI warmup match starting Feb 27). So he needs to play in the match starting 7 Feb vs Canterbury, or at the latest in the match starting 14 Feb vs Wellington. That's pretty soon.
Considering there' hasn't been much heard from Vettori about this, it's looking quite unlikely.