So the Islanders have the No. 1 pick in the NHL Draft in Los Angeles on June 27 thanks to their long shot win in Monday night’s Draft Lottery, which they entered with just a 3.5% chance of moving up from the 10th spot.

Now what? It’s not like there’s a clear-cut Sidney Crosby, Connor McDavid or even a Connor Bedard or Macklin Celebrini decision to be made here. There are options, perhaps three very enticing ones that whoever is hired as the Islanders’ new general manager will have to weigh.

(And how much now does this question become part of operating partner John Collins’ hiring process?)

— Defenseman Matthew Schaefer, who is atop almost every mock draft board despite missing the bulk of last season for Erie of the Ontario Hockey League because of illness and a broken collarbone. He’s projected to be a No. 1 defenseman in the NHL, the kind of puck mover the Islanders have craved since the departures of Devon Toews and Nick Leddy.

— Take the local kid and hit a marketing bonanza. Hauppauge’s James Hagens, entering his sophomore season at Boston College, was once projected as the potential No. 1 pick. So there are strong hockey reasons to take Hagens, who grew up rooting for the Islanders and wearing a John Tavares’ jersey — the Islanders’ last No. 1 overall pick in 2009 — as well as sentimental ones.

— Michael Misa, who had 134 points in 65 OHL regular-season games for Saginaw, projects as a No. 1 center and could potentially help the Islanders this coming season.

There are certainly strong arguments to be made for all three.

But, looking at the Islanders’ organization as a whole, Schaefer might be the best fit.

The Islanders selected sharpshooting left wing Cole Eiserman with the 20th overall pick last June in Las Vegas. They acquired highly regarded center prospect Cal Ritchie, picked 27th overall by the Avalanche in 2023, in the Brock Nelson trade. And they drafted center Danny Nelson 49th overall in 2023 and he is projected to earn an NHL role as well.

There is some depth among their forward prospects, but the organization is thinner on the back end. Isaiah George, a fourth-round pick in 2022, played 33 games for the Islanders last season and, with more experience, is expected to eventually crack the lineup for good. There’s also Calle Odelius, a second-round pick in 2022, and Laurel Hollow’s Marshall Warren, who just turned 24.

But none project to be a top-pair defenseman as Schaefer does.

Sooner or later, the Islanders will need to develop replacements for Scott Mayfield, Ryan Pulock and Adam Pelech despite their contract status. So Schaefer is certainly going to be very attractive to the Islanders.

Of course, the Islanders also struggled finishing scoring chances and, if Patrick Roy remains as coach, he wants aggressive skaters who can impact the offensive zone. Misa and Hagens certainly seem to fit that mold. How exciting would it be to have either centering Eiserman?

Then again, that could be Ritchie centering Eiserman.

Another option, of course, is trading out of the No. 1 spot and getting multiple valuable assets back in return. Without knowing who the new GM will be, that can’t be discounted.

So, yes, the Islanders have plenty to consider over the next two months.