SMA PLT DEPARTING OPF ON WESTERLY HEADING ALLEGEDLY PENETRATED MIA TCA.

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DEPARTING OPF 36R; MORNING; 2/88; I QUESTIONED THE TWR AFTER LIFTOFF HOW SOON I COULD BEGIN A LEFT TURN AS MY DEP REQUEST WAS W-WARD AND I DID NOT KNOW FULLY THE IN-USE OF 36L. TWR (FREQ 120.7) STATED; 'TURN ANYTIME;' AND SOON AFTER BEGAN A CONVERSATION WITH ME ABOUT MY BEAUTIFUL ACFT; WHAT YEAR IT WAS; WAS IT CONVERTED? (IT IS A 172 CONVERTED TO TEXAS TAILDRAGGER TYPE--CERTAINLY SELDOM SEEN!) OUR CONVERSATION CONTINUED AND HE REMINDED ME TO STAY UNDER 1500'. HE SUDDENLY STATED I NEEDED TO CONTACT MIA; AS I WAS NOW IN THEIR AIRSPACE. MY LORAN DID NOT CONCUR THAT I WAS WITHIN 5 NM OF THEIR TWR! ASKED IF INDEED HAD TO CONTACT THEM. HE AT FIRST SAID; 'NO;' THEN CAME BACK AND SAID; 'YES.' I DID SO AND THEY SENT ME ON MY WESTWARDLY COURSE. UPON LEAVING THEIR RADAR SVC; I WAS TOLD TO CALL THEM VIA PHONE WHEN I LANDED; COLLECT. THIS WAS ATTEMPTED FROM BROOKSVILLE; FL; AT OPERATOR 155; AND THE # I WAS GIVEN WAS 'BLOCKED;' MEANING CANNOT ACCEPT COLLECT CALLS. IT WAS TRIED AGAIN FROM PANAMA CITY; FL; AT OPERATOR 0240; AND STILL THE # IS/WAS BLOCKED. I CAN ONLY THINK THEY WANTED ME TO CALL TO: 1) CHEW ME OUT FOR BEING IN THEIR CTL ZONE WHEN ACTUALLY I HAD NOT DEPARTED CTL TWR FREQ; AND THUS SHOULD HAVE BEEN STILL UNDER HIS DIRECTION AND BELIEVED HE WOULD NOT TALK ME RIGHT INTO A KNOWN CTL ZONE; 2) GET ENOUGH INFO SO AS TO VIOLATE ME.