Congressman Lou Barletta is also seeking the former president's endorsement, and state Sen. Doug Mastriano has said Trump asked him to run.
Republicans have proposed a wide-ranging series of changes to Pennsylvania election laws, including many that would make it more difficult to vote.
Lou Barletta, the Trump-endorsed nominee for US Senate in 2018, is also running for governor and seeking Trump's endorsement.
Primary ballots will include four questions, three of which propose amendments to the state’s constitution.
Arkoosh would be the first woman to represent Pennsylvania in the US Senate if she's elected.
Kenyatta, the grandson of the late civil rights activist Muhammad I. Kenyatta, is the latest candidate to join what is likely to be a crowded race.
The race for the US Senate seat currently occupied by Pat Toomey could be the most competitive Senate race in 2022.