The Yankees remain engaged in the free agent market, including with Pete Alonso

Even after a flurry of activity over the past week, the Yankees roster has plenty of question marks, perhaps the biggest at first base — if Cody Bellinger doesn’t end up there — and second base — if Jazz Chisholm Jr. do not get moved from third.

General manager Brian Cashman said Wednesday that he remains engaged with the agents for most of the “above average” options available at the spots as well as in the outfield.

And he said that list includes Pete Alonso.

Alonso is among the top free agents remaining, and the Yankees are also engaged to Christian Walker, Carlos Santana and Paul Goldschmidt, according to sources.

Santana and Goldschmidt wouldn’t cost that much, which may be to the Yankees’ liking given the price tags on Bellinger and lefty Max Fried.

Signing either would likely put Bellinger in center, with Aaron Judge moving back to right field and perhaps Jasson Dominguez in left, where he struggled in September.

The GM made it clear that Dominguez would play every day, either in the majors or at Triple-A Scranton/Wilkes-Barre, depending on how the rest of the offseason goes in The Bronx.

“I want to see Dominguez get his shot now,” Cashman said. “He’s young. He’s got to earn it and keep it.”

The Yankees have also remained in contact with switch-hitting Anthony Santander, who was primarily a right fielder with Baltimore and has minimal experience at first base.

Cashman repeatedly touted Ben Rice as an infield option at first, but Rice slumped for much of his time in the majors last season.

And as for second base, Cashman added in-house candidates like Oswald Peraza or Oswaldo Cabrera who could be in the infield mix if he doesn’t get one via free agency or trade.

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Aaron Boone said Devin Williams will be the regular closer after his arrival in a trade from Milwaukee last week.

The manager added that he spoke with Luke Weaver about his potential role after Weaver emerged as a top closer in the latter part of the regular season and into the playoffs.

Boone added that Weaver would still close out games on occasion.

Both Williams and Weaver are eligible to be free agents after the season.

Cashman said the team has not discussed extensions with either pitcher while they are still trying to assemble the 2025 roster.

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As the Yankees look for infield help, Cashman said they haven’t forgotten about DJ LeMahieu, who is coming off another miserable, injury-riddled season.

“He’s a professional and he’s going to do everything in his power to be able to contribute,” Cashman said of LeMahieu, who has two years and $30 million left on his contract.

“I believe he will be healthy going into camp and will try to erase difficult memories from the last two seasons,” Cashman said. “Injuries have derailed him.”

The regular second baseman from last season, Gleyber Torres, remains a free agent, and Cashman said he has spoken with his agent, but the Yankees don’t seem particularly interested in a reunion.

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Pitching coach Matt Blake said the Yankees never discussed Clay Holmes becoming a starter, though he’s not particularly surprised that the right-hander, who signed a three-year deal with the Mets, is interested in making the transition.

“His arsenal has broadened,” Blake said. “He’s got two breaking balls, a four-seamer, and he always talked about a changeup. I think he’s smart enough to know how to add to his arsenal. … I understand the thought process for him and for other teams. ”

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The Yankees have yet to replace assistant pitching coach Desi Druschel, who left a similar role with the Mets.

Blake called recently re-signed right-hander Jonathan Loaisiga “a high-leverage” reliever, but they won’t rush him back on the mound.

— Additional reporting by Jon Heyman and Joel Sherman