Now that the Rangers, the last NHL team without a head coach, have filled the vacancy behind their bench with Peter Laviolette, and the Golden Knights hoisted the Stanley Cup before partying with DJ Steve Aoki to celebrate, the thick of the offseason can commence.

Rangers president and general manager Chris Drury can now give his full attention to the regularly scheduled summer business, headlined by key restricted free agents K’Andre Miller and Alexis Lafreniere.

Getting those two under contract — or sorted out elsewhere — surely tops the priority list, but they are far from the only bullet points on the Rangers’ robust to-do list.

It is unclear if negotiations have begun with either player’s camp, though if they have, it probably hasn’t gone far given the time dedicated to the coaching search.

Player agents don’t usually engage in contract talks with a team that doesn’t have a coach.

Laviolette will officially be introduced as the Rangers’ 37th head coach in franchise history Tuesday in Tarrytown, so Drury’s schedule should free up for those conversations after that.

At the end of this month, Drury and the rest of the front office will be in Nashville for the draft.

The Rangers have five picks this year, including the 23rd-overall selection in the first round, which is set to begin at 7 p.m on June 28. Rounds 2-7 will be held the following day, beginning at 11 a.m.

Five picks represents the fewest selections the Rangers have had since 2013 — when the organization drafted Adam Tambellini, Pavel Buchnevich, Anthony Duclair, Ryan Graves and Mackenzie Skapski in the third, fourth and sixth rounds, respectively.

Last year was their first draft since 2016 without a first-round pick, which ended up going to Winnipeg in the deal for Andrew Copp once it was upgraded from a second-round pick after the Rangers made it to the Eastern Conference finals and Copp played in 50 percent of their playoff games.

The Blueshirts took Brennan Othmann at No. 16 in 2021 with their most recent first-round selection.

The draft is probably more of an afterthought for this win-now Rangers team, which is essentially right back where it started at the beginning of last season: without two top-six right wingers or a third-pair defenseman.

Could this be the year Lafreniere and Kaapo Kakko demand top-line minutes? Is it time for Zac Jones, who is also a restricted free agent, to make the full-time jump to the NHL? Will Laviolette be able to craft the checking/matchup line the Rangers have needed?

That is all yet to be seen.

Training camp will give some insight into the answers for those questions, but so will the personnel decisions that Drury makes this summer.

There isn’t much money to spare, with approximately $11.7 million in cap space to fill eight spots on a 22-man roster as it currently stands.

Some of that will have to go to Miller and Lafreniere, which won’t leave much left over to fill the presumed holes left by Vladimir Tarasenko, Patrick Kane, Tyler Motte and Niko Mikkola.

Backup goalie Jaroslav Halak, who is set to become an unrestricted free agent, will also need to be paid or replaced.

The free-agency window opens on July 1 at noon.

Until then, the Rangers’ priorities will be in-house.

The No. 1 order of business, hiring a new head coach, has been taken care of.

Now, the real offseason work can commence.