SMA INBOUND TOLD 10 MINUTE DELAY REMAIN CLEAR OF ARSA. CONTACTED AGAIN WITH CODE TO SQUAWK AND CLRNC TO LAND. ON FINAL TOLD TO DO 360. ON GND TOLD CONTACT TWR REGARDING NEAR MISS.

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ON SAT; JAN 1988; I WAS RETURNING FROM NASSAU TO FT LAUDERDALE EXECUTIVE ARPT. AT APPROX 12 MI E I CALLED EXECUTIVE TWR FOR LNDG INSTRUCTIONS; HOWEVER; I WAS UNABLE TO MAKE CONTACT. WHEN I WAS APPROX 9 MI E I CALLED AGAIN AND THIS TIME THE TWR TOLD ME THERE WOULD BE A 10 MIN DELAY AND I SHOULD REMAIN CLR OF THE ARPT AREA. I PROCEEDED NWBND AND CALLED POMPANO TWR FOR PERMISSION TO FLY OVERHEAD. PERMISSION WAS GRANTED. AFTER APPROX 10-15 MINS EXECUTIVE TWR CALLED ME AND ASKED ME MY POS. I TOLD THEM I WAS NW OVER THE SAWGRASS. AFTER A FEW MORE MINS EXECUTIVE TWR CALLED AND SAID I HAD AN SMA AT 2 O'CLOCK AND I SHOULD FOLLOW HIM; I ACKNOWLEDGED SIGHTING HIM. I PROCEEDED TO FOLLOW THE SMA TILL ABOUT 2 MI FROM THE APCH END OF RWY 8 WHEN THE TWR CALLED AND SAID I SHOULD MAKE A R 360 DEG. I PROCEEDED TO MAKE A 360 DEG AND WE WERE CLRED TO LAND WHICH WAS UNEVENTFUL. AFTER CLRING CUSTOMS THE ARPT SECURITY TOLD ME TO CALL THE EXECUTIVE TWR ON THE TELEPHONE. AFTER PARKING MY AIRPLANE I CALLED THE TWR AND THEY TOLD ME ANOTHER PLT HAD RPTED A NEAR MISS AND THAT THE CHIEF CTLR WOULD BE CALLING ME. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO. PLT FOLLOWING TFC AS ASSIGNED; NEVER SAW OTHER ACFT; DID NOT KNOW OF POSSIBLE NMAC UNTIL TALKING WITH TWR. A LOT OF TFC WHEN ARRIVING; NOT COMFORTABLE WITH AMOUNT OF TFC ATC HANDLING.