Should they stick with Kruger van Wyk behind the stumps?
Is Daniel Vettori still an automatic selection? Will Otago's Neil Wagner force his way into the test squad?
Everything should be a little bit clearer this afternoon, when New Zealand Cricket is expected to reveal its touring squads for the series against the West Indies.
The Black Caps will play two twenty/20 matches, both in Florida, and five one-dayers and two tests in the Caribbean.
For the cricket purist, most of the excitement will centre around the naming of the test squad.
The 11 players who started the third test against South Africa at the Basin Reserve in March are likely to make the squad of 15.
That means Daniel Flynn and Dean Brownlie should retain their spots, along with the more established batsmen Martin Guptill, Brendon McCullum, Kane Williamson and captain Ross Taylor.
Flynn replaced Rob Nicol for the third test and scored a gutsy 45, and the Australian-born Brownlie has scored three half-centuries in five tests for his adopted country.
Williamson scored a match-saving century and both Taylor and McCullum had moments of brilliance.
Guptill had a superb summer.
He missed out in the test series against South Africa but remains a class player.
The only dispute will be whether to play five or six specialist batsmen.
If the team opts for five batsmen, Flynn shapes as the obvious candidate to miss out.
McCullum could move from No 3 to the opening spot, with Williamson batting at No 3.
The other option would be for Brownlie to drop out.
Playing the extra bowler is the more aggressive approach and it worked well when the move was forced on the Black Caps in Hobart.
New Zealand recorded an historic test win against Australia, its first across the Tasman for 26 years.
The same approach did not work in the home series against South Africa and the Black Caps reverted to picking an extra batsman.
In the West Indies, the visitors might be better served playing an extra bowler.
That would pave the way for highly-rated leg-spinner Tarun Nethula to make his test debut.
His abilities would seem well suited to the conditions the Black Caps are likely to strike.
He would likely partner Vettori but the former captain's place in the test side can no longer be considered automatic.
Vettori had a trying series against South Africa, with three wickets at an average of 95.
His strike rate was truly forgettable, with one wicket every 234 balls, although he remained very economical, conceding an average of 2.43 runs each over.
He did not contribute as much with the bat as we have come to expect, either, scoring 97 runs at 19.40.
Of course, Vettori has been such a wonderful performer it would be a brave decision to leave him out. And the fact there is no obvious successor will help him hold his spot for the foreseeable future.
But it is worth noting the Black Caps won in Hobart without the veteran left-arm spinner.
Wagner is bound to be selected in the squad now that he is eligible.
The South African-born left-armer has taken 97 Plunket Shield wickets in the last two seasons, but he might have to wait a little longer to make his international debut.
Incumbents Chris Martin (eight wickets at 40.62) and Doug Bracewell (nine at 37.66) did enough against a quality South African batting line-up to retain their spots, and Wellington's Mark Gillespie was a revelation with 11 wickets at 22.81.
Wagner's possible inclusion in the squad will likely be at the expense of Northern Districts left-armer Trent Boult.
Andrew Ellis' versatility and BJ Watling's ability to provide wicketkeeping cover and bat in the top order should result in them both getting the nod.
While Watling did an admirable job with the gloves against Zimbabwe, Van Wyk is a nuggety player and a much better wicketkeeper.
Rob Nicol and James Franklin make strong cases for inclusion in the limited-over sides and Otago spinner Nathan McCullum is certain to be included.
Tim Southee had a miserable test and one-day series against South Africa but still has plenty to offer in the shorter formats.
The selectors seem to like Kyle Mills and Jacob Oram, although the experienced pair must be getting to the end of the road.
Roneel Hira and Colin de Grandhomme might get opportunities in the opening twenty/20 games.
It is too soon for Hamish Rutherford. The Otago left-hander replaced Aaron Redmond late in the summer but quickly captured everyone's attention with a staggering run.
In the month of March he scored 607 runs, including back-to-back hundreds and a double century.
His father, Ken Rutherford, was selected for the tour of the West Indies as a 19-year-old and it nearly ruined his career.
Let's not make the same mistake with Hamish. But he is certainly one to watch for the future.
West Indies tour
Possible NZ squads
Test: Daniel Flynn, Martin Guptill, Brendon McCullum, Ross Taylor, Kane Williamson, Dean Brownlie, Daniel Vettori, Kruger van Wyk, Doug Bracewell, Mark Gillespie, Chris Martin, Neil Wagner, Andrew Ellis, Tarun Nethula, BJ Watling.
ODI: Rob Nicol, Guptill, Brendon McCullum, Taylor, James Franklin, Williamson, Brownlie, Nathan McCullum, Andrew Ellis, Bracewell, Tim Southee, Kyle Mills, Nethula, Jacob Oram, BJ Watling.
T20: Nicol, Guptill, Brendon McCullum, Taylor, Franklin, Williamson, Brownlie, Nathan McCullum, Ellis, Bracewell, Southee, Mills, Roneel Hira, Colin de Grandhomme, Oram.
