In August 1983 a Soviet diplomat's teen-age son, who was visiting his parents here for the summer, threatened to become a one-man diplomatic incident when he apparently balked at returning to Moscow.

After 16-year-old Andrei V. Berezhkov disappeared from his parents' Chevy Chase home for 14 hours, the White House and the New York Times received letters purportedly signed by the teen-ager:

"I hate my country and it's sic rules and I love your country," read the letter released by the Times. "I wrote to Mr. President and . . . I'm afraid if my parents find that out they'll put me in Siberia. So I'm running away on 11th of August," which was the day Berezhkov's parents notified the State Department that he had taken the family car.

Young Berezhkov soon reappeared, and officials at the Soviet Embassy called the letters a forgery.

For the next week, State Department and administration officials attempted to interview Berezhkov or his father Valentin, first secretary at the embassy and the liaison to Moscow's Institute for the United States and Canada. Embassy officials refused and said the entire family had diplomatic immunity.

At Dulles Airport where the family boarded a plane for the Soviet Union, the blond teen-ager, wearing blue jeans and Nikes, told reporters: "I want to go home and not stay here." In parting, he turned back and said, "Say hi to Mick Jagger."

These days young Berezhkov, having graduated from high school, is attending university in Moscow, according to a spokesman for the Soviet Embassy here. His father has returned to the Institute for the United States and Canada in Moscow, according to U.S. government sources.