Victor Simon has been chosen 1985-1986 Big Brother of the Year of the National Capital Area for his seven years of guidance and companionship with a 15-year-old Wheaton boy. Simon, 36, a reporter with the Mortgage Bankers Association in Washington who lives on Crossfield Court in Rockville, is also the 1985-1986 Big Brother of the Year for Montgomery County, one of the four area jurisdictions served by the Big Brother Organization. Va gives Highest Honor

The late Dr. John E. Nardini, a Washington psychiatrist and Bethesda resident, was awarded the Veterans Administration's highest honor, the Administrator's Award, for his service since 1982 on the VA's Advisory Committee of Former Prisoners of War. Nardini had resigned from the committee this summer.

As chairman of the committee's medical subcommittee, Nardini's research and analysis of the prisoner of war experience is credited with inspiring proposed legislation for improved veterans' benefits for ex-POWs, according to the Veterans Administration.

Nardini, a retired Navy captain, was a prisoner of war in Japan during World War II. He received the Silver Star medal for his efforts to administer medical care to fellow prisoners.

Following his retirement from the Navy in 1961 as chief of the neuropsychiatric branch of the Bureau of Medicine and Surgery in Washington, Nardini entered private practice and taught at Georgetown University. He died Nov. 2 at Sibley Memorial Hospital. Minority Entrepreneur of the Year

Joshua I. Smith, president and founder of Maxima Corp., a Bethesda-based information technology services firm, has been named the U.S. Department of Energy's first Minority Entrepreneur of the Year.

The award recognizes a company's growth in number of employes, increase in sales and improved financial position, and also a company leader's use of personal time or company resources to aid community projects.

Smith, a resident of Rockville, and his seven-year-old company recently received one of 16 Congressional High Technology Awards from the Congressional Caucus for Science and Technology for "achievement in information technology and innovative form of business."