SA 227 AT MYNA SUBJECTED TO LOSS OF SEPARATION AND SITUATIONAL AWARENESS BY NASSAU APCH CTLR.

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NASSAU APCH CTL CLRED ME TO 3000 FT. AFTER ALREADY MAINTAINING 3000 FT; NASSAU AGAIN CLRED ME TO 3000 FT. I TOLD THEM I WAS AT 3000 FT. THE AIRSPD ASSIGNED BY NASSAU APCH WAS 160 KTS. NASSAU THEN ASSIGNED ME TO 2000 FT. I READ BACK '2000 FT; ACR XYZ.' AT APPROX 2300 FT; NASSAU APCH ASSIGNED 'ACR XYZ; MAINTAIN 3000 FT.' I TOLD HER 'I WAS ASSIGNED 2000 FT; WHAT DO YOU WANT?' SHE CAME BACK 'CLB AND MAINTAIN 3000 FT.' I IMMEDIATELY CLBED TO 3000 FT. THERE WAS AN AZTEC AT 2000 FT IN THE AREA. MY HDG AT THE TIME WAS 150 DEGS. I WAS BEING VECTORED FOR A L DOWNWIND TO RWY 32 AT NASSAU (MYNN). I SPOKE TO THE CTLR VIA TELEPHONE AND SHE SAID SHE DIDN'T REMEMBER THE CALL SIGN GIVEN IN THE INSTRUCTION AND THAT SHE MIGHT HAVE GOT MY CALL SIGN CONFUSED WITH THE AZTEC. ALSO; AFTER BEING ASSIGNED AN AIRSPD OF 160 KTS; SHE LATER ASSIGNED 'ACR XYZ; REDUCE SPD TO 170 KTS.' I TOLD HER ' I WAS ASSIGNED 160 KTS; WHAT SPD DO YOU WANT....' SHE SAID 'MAINTAIN YOUR PRESENT SPD.' I RESPONDED WITH 'MAINTAINING 160 KTS; ACR XYZ;' ON ANOTHER NOTE; THE HOLD SHORT MARKINGS ON TXWY A FOR RWY 14 AND RWY 32 ARE PAINTED BACKWARDS! (NASSAU ARPT MYNN). THERE ARE NO HOLD SHORT MARKINGS ON TXWY B FOR RWY 27 AND RWY 9 AT NASSAU.