A Fairfax County couple was indicted by an Arlington grand jury yesterday on embezzlement charges in an alleged scheme involving false insurance claims totaling about $6,000.

James L. Cobb and Holly Brenneman Cobb, both 28, of 9265 Bailey La., were indicted on charges of conspiracy to commit embezzlement and on five counts each of embezzlement in connection with claims filed with the Allstate Insurance Co. between September 1979 and September 1980.

James Cobb, a former claims agent for Allstate, was arrested by Fairfax County police last Thursday and charged with embezzling more than $102,000 in what was described as a similar false claims scheme in that county.

Between 1979 and 1981, according to Fairfax County police, James Cobb allegedly encouraged several policyholders to initiate fictitious claims for burglaries, fires and flooding. As a claims agent, he allegedly issued checks to the policyholders in settlement of the false claims and then received a 50 percent kickback when the policyholders cashed the checks, Fairfax police said.

In other action by the Arlington grand jury yesterday, 20-year-old Richard Robert Abreo was indicted on murder and firearms charges in the shooting death of his 52-year-old father last April. Abreo was arrested at his home, 5603 S. 7th Rd., April 21 after his father, Laurence Abreo Jr., was shot at the front door of the family home as he returned home from work.