BE58 PLT EXPERIENCED NMAC AFTER DEP FROM FCM WITH ANOTHER DEP AND IS INITIALLY CHALLENGED BY ATC FOR UNAUTH TKOF BUT TAPES PROVED PLT CORRECT.

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WHEN I CONTACTED TWR; I RPTED READY AT RWY 10L; THE ACTIVE PARALLELS FOR THAT DAY. I WAS TOLD THAT I WAS CLRED FOR TKOF. I ACKNOWLEDGED THE TKOF INSTRUCTION AND ROLLED ONTO THE RWY. I STOPPED ON THE RWY AND PWRED UP TO 50% PWR; CHKED THE ENG GAUGES AND RELEASED THE BRAKES. I APPLIED FULL PWR AND WAS AIRBORNE BY MID FIELD. AT THAT TIME THE TWR CALLED ME AND ASKED IF HE ASSIGNED ME A HDG AFTER TKOF. I SAID THAT I DID NOT HAVE A HDG ASSIGNMENT. THE REPLY WAS SOMETHING TO THE EFFECT; 'THAT'S RIGHT; BECAUSE YOU WERE NOT CLRED TO TAKE OFF.' WHILE THAT SHORT BUT RATHER SHOCKING EXCHANGE WAS GOING ON WITH ME AND THE CTLR; I WAS RAPIDLY CLOSING THE DISTANCE BTWN MYSELF AND THE LOW WING PIPER TRAINER DEAD AHEAD OF ME; ALSO CLBING OUT ON RWY 10L. MY FIRST THOUGHTS WERE; OK; I SCREWED UP. THERE WAS A PIPER IN MY WINDSHIELD! JUST AS IT REGISTERED THAT I NEEDED TO TURN; I INITIATED A TURN TO THE L (L-HAND TFC FOR THE L RWY AT FCM); THE PIPER ALSO INITIATED A L TURN; I TURNED HARD R AND SAW THE PIPER FLY UNDER THE WING OF MY PLANE. SO NOW I HAVE A NEAR MISS AND AN UNAUTH DEP AGAINST MY TICKET WITHIN A MIN OF EACH OTHER. AT CLOSE TO THAT SAME TIME; I WAS ASKED BY THE CTLR IF I STILL WANTED VECTORS TO AIRLAKE. I SAID I WAS DONE FLYING FOR THE DAY AND ASKED TO GET SEQUENCED INTO THE PATTERN FOR A RETURN TO THE FBO. I WAS TOLD TO STOP MY DISCRETE SQUAWK AND THAT I WAS CLRED TO LAND ON RWY 10R. TURNING BASE TO RWY 10R; I CALLED THE TWR TO CONFIRM THAT I WAS CLRED TO LAND ON RWY 10R. HE CONFIRMED IT AND ASKED ME TO CALL THE TWR WHEN I LANDED. THE REVIEW OF THE TAPES HAS ME IN THE CLR. IT WAS A VERY; VERY BUSY DAY IN THE PATTERN AT FCM. IN MY OPINION; THAT CTLR TOOK A QUICK LOOK AND THOUGHT HE SAW SOMETHING BUT REALLY DIDN'T. WHEN I STARTED TO EAT-UP THE GUY IN FRONT OF ME; HE IMMEDIATELY THOUGHT I WAS TO BLAME.