CIVILIAN OWNED; CONVERTED FOREIGN MIL FIGHTER PLT QUESTIONED AT DEST BECAUSE OF MALFUNCTIONING XPONDER AND OBSERVED SPD.

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I FERRIED THE ACFT FROM GWO TO OLV FOR PITOT STATIC/XPONDER/ENCODER CERTIFICATION. AT THE COMPLETION OF THE MAINT; DEPARTING OLV; I WAS UNABLE TO CONTACT MEM APCH ON 125.8 ON THE GND. I DEPARTED OLV AND HEADED E; REPEATEDLY CALLING APCH ON 125.8 (ASSIGNED FOR THE AREA) WITH NO RESPONSE; THOUGH I CLRLY HEARD APCH SPEAKING AND THE RETURN CONVERSATION FROM OTHER AIRPLANES. PASSING 5000 FT MSL; APCH ANSWERED; AND HAUGHTILY TOLD ME THAT I SHOULD BE ON 126.05 (WHICH IS NOT SHOWN ON ANY INFO THAT I HAVE). 126.05 ANSWERED AND ADVISED THAT I SHOULD HAVE CALLED SOONER; THAT 'YOU ARE RIGHT IN THE MIDDLE OF ALL THAT ARRIVING TFC THAT 125.8 IS HANDLING....' I WAS WELL E OF THE IAF BEING USED BY 125.8. I WAS IN EXCELLENT VISIBILITY AND NEVER SAW ANY AIRPLANE BEING DIRECTED BY 125.8; PLUS I WAS CLBING TO 15500 FT AND WAS WELL ABOVE ANY/ALL TFC AT THE HLI VOR; THE IAF FOR 125.8. 126.05 'DISMISSED' ME VERY; VERY SOON TO 'CHANGE TO ADVISORY FREQ;' BY WHICH TIME I HAD BEEN AT 15500 FT FOR SOME TIME. I DSNDED TO GWO (ONLY 90 NM TOTAL; OLV-GWO); AND UPON CONTACTING GWO ATCT; THE TWR OPERATOR ADVISED THAT 'CTR IS GOING WILD ABOUT YOUR SPD AND THAT YOU INDICATED FL510 ON THE MODE C.' MY SPD WAS NEVER IN EXCESS (INDICATED AIRSPD) OF 250 KIAS BELOW 10000 FT; AND I TURNED THE MODE C OFF AS SOON AS I WAS ADVISED OF THE PROB. THE APCH/CTR PERSONNEL SEEMED 'MIFFED' THAT I HAD NOT CONTACTED THEM SOONER (BUT I KNOW THEY HAD BEEN HEARING ME FOR SOME TIME BEFORE I DID MAKE CONTACT); AND THEY MAY BE VINDICTIVE WITH THE XPONDER; ETC (WHICH JUST CAME OUT OF THE REPAIR/CALIBRATION THAT SAME DAY!).