The primary season ended on Tuesday with elections in New Hampshire, Rhode Island and Delaware.

While results are still being tallied in the night’s marquee matchup, the Republican Senate primary to determine who will challenge Senator Maggie Hassan in New Hampshire this fall, most other races have been called.

Here is a rundown of some of the most important wins and losses.

  • Karoline Leavitt, a former press aide in Donald J. Trump’s White House, defeated Matt Mowers, a former State Department adviser, in a Republican primary that pitted two Trump administration alumni against each other. Ms. Leavitt — who recently turned 25, the minimum age to serve in the House — will face Representative Chris Pappas, a Democrat, in the First Congressional District. She could be one of the first two members of Generation Z to serve in Congress, alongside Maxwell Alejandro Frost, who won a Democratic House primary in Florida last month.

  • Gov. Chris Sununu, a Republican seeking a fourth two-year term, easily won his primary, in which he had only nominal competition. He will face Tom Sherman, a state senator who ran unopposed in the Democratic primary.

  • Gov. Dan McKee won a tight Democratic primary as he seeks his first full term after rising from the lieutenant governorship to replace former Gov. Gina Raimondo, who left to serve in the Biden administration. He defeated Helena Buonanno Foulkes, a businesswoman; Nellie Gorbea, the Rhode Island secretary of state; and two others. Mr. McKee will face Ashley Kalus, a businesswoman who won the Republican primary, in November.

  • Lt. Gov. Sabina Matos, who is seeking her first full term after being appointed by Mr. McKee, won the Democratic primary for lieutenant governor. Her Republican opponent will be Aaron Guckian, a former development officer at the Rhode Island Foundation.

  • Gregg Amore, a state representative, won the Democratic nomination for secretary of state and will face Pat Cortellessa, a security company supervisor who volunteered for the Trump campaign in 2016.

  • Seth Magaziner, the state’s general treasurer, is the Democratic nominee to replace Representative Jim Langevin, a Democrat who is retiring. He topped a six-candidate field and will face former Mayor Allan Fung of Cranston in November.

  • Lydia York, a lawyer and former corporate accountant, won the Democratic primary for auditor of accounts, the office responsible for supervising Delaware’s use of taxpayer money. She defeated the incumbent, Kathleen K. McGuiness, who had been convicted of misdemeanors in a misconduct case related to hiring her daughter.