Neither will perennial candidate Lou Filipovich of San Leandro, who's now the lone Republican candidate for the 18th Assembly District nomination.
Challengers either withdrew or didn't qualify to run for the seats, according to the Alameda County Registrar of Voters Office.
The registrar's office on Monday released the names of candidates for dozens of county, state and federal races on the primary ballot.
Friday was the closing day for nominations.
More than 30 people were lined up outside the registrar's office in Oakland at 5 p.m. Friday, said registrar's spokesman Guy Ashley. Verification of information on nomination papers was done over the weekend.
Stark, first elected in 1972, will run unopposed for his party's candidacy in the 13th Congressional District. Two Democratic challengers withdrew from the race.Raymond Chui, an Alameda County Republican Central Committee member, will be his party's 13th District congressional nominee.
In the 18th Assembly District, Colleen Sill, another county Republican Central Committee member, didn't qualify for the race against Filipovich. Democratic incumbent Mary Hayashi, D-Hayward, will be challenged by Jason Teramoto in the June primary.
The registrar's office confirmed that county Supervisor Nate Miley will be opposed by Steve White in Miley's bid for a third four-year term.
Four candidates will vie for an Alameda County Superior Court judicial vacancy. They include Castro Valley resident Dennis Hayashi, San Leandro residents Philip Daly and Dennis Reid, and Oakland resident Victoria Kolakowski.
Seven candidates qualified to contend for six seats on the 18th Assembly District's Democratic Central Committee. They include Diana Prola, Linda Perry, Greg Sanborn, Rick Trullinger, Robin Torello, Ryan "Rocky" Fernandez and Terry Re.
Nine candidates are going for six seats on the 18th District Republican Central Committee. They are Ernest Scherer, Brian Eschen, Christopher Kuhn, Douglas Miller, David Latour, Deslar Kyn Patten, Andrew Latour, Daniel Paul Byars and Gregg Byars.
Committee members recruit and work for the election of party candidates, hold voter registration drives and informational meetings, and raise funds for their respective parties.