Check out the latest on the Islanders and Penguins in today’s NHL Rumor Mill.

ISLANDERS’ NEW GM MUST ADDRESS SOME BIG QUESTIONS

NEW YORK POST: Ethan Sears looked at the critical questions facing the Islanders after parting ways with now-former general manager Lou Lamoriello earlier this week.

Head coach Patrick Roy and his staff are in limbo until Lamoriello’s replacement is found. His future behind the Islanders’ bench could depend on whether he has a rapport with the new GM.

Lamoriello was working on a contract extension for veteran winger Kyle Palmieri. That is likely on hold until the new general manager is in place. The 34-year-old is eligible to become an unrestricted free agent on July 1.

New York Islanders defenseman Noah Dobson (NHL Images).

Sears also wondered if the new Isles GM will entertain trade offers for veteran forwards Anders Lee and Jean-Gabriel Pageau. Both are a year away from UFA eligibility. He also brought up the possibility of contract buyouts for forward Pierre Engvall and defenseman Scott Mayfield.

The new GM must also decide if he sees Noah Dobson as a true No. 1 defenseman. The 25-year-old is a restricted free agent with arbitration rights starting on July 1. They must also decide if they trust aging Semyon Varlamov as their backup goaltender.

SPECTOR’S NOTE: The Islanders are expected to conduct a thorough search for Lamoriello’s replacement. They should have someone in place by the end of May to suitably address these issues, as well as prepare for the draft at the end of June.

Dobson and Palmieri’s free-agent eligibility makes them a priority. There’s no rush to move Lee and Pageau, but it would be worthwhile to have that new GM in place before the draft to at least gauge their value in the trade market.

LATEST ON THE PENGUINS

PITTSBURGH HOCKEY NOW: Dan Kingerski reported earlier this week that Penguins GM Kyle Dubas called out defenseman Erik Karlsson over his performance and his comments about his disappointment with the club’s play this season.

“Erik, I think, is and will forever be a polarizing figure. While I don’t know his exact comments, my view would be that we expect him to be one of the people who pulls us from where we’re at and into contention,” Dubas said. “I had a long meeting with Erik on Friday. My push to him would be that his actions have to match his ambitions. That’s in consistency, preparation, and training, like every other player on the team.”

Based on Dubas’ comments, Kingerski believes trade possibilities for Karlsson have “greatly diminished.” He suggested it might not be Karlsson’s choice if he remains with the Penguins.

SPECTOR’S NOTE: Karlsson has a full no-movement clause and an expensive contract that runs through 2026-27. Nevertheless, he surfaced frequently in the rumor mill in recent weeks, with some reports suggesting the Penguins might find a suitor for the expensive, inconsistent blueliner if they retained part of his cap hit.

The Penguins carry nearly $10 million of his average annual value while his former club (San Jose Sharks) carries the remaining $1.5 million.

Based on Dubas’ remarks, it sounds like Karlsson will return with the Penguins next season.

Meanwhile, Dave Molinari doesn’t expect the Penguins to part ways with head coach Mike Sullivan. Dubas indicated Sullivan is under contract for next season and intends to return behind the Penguins’ bench.