NEW FO FORGOT THAT AUTOTHROTTLES WERE INOP AND WHEN LEVELING AT 2000 FT; EXCEEDED SPD LIMIT.

Narrative

ON TKOF RWY 12 CANCUN AND AT 400 FT I CALLED FOR HEADING SELECT; AT 1000 FT CALLED FOR FLAPS 1 DEG; SPD 210 KTS; CLB PWR. THE CAPT REPLIED THAT HE WOULD SELECT LEVEL CHANGE AND 210 KTS; TO GET VBARS-FLT DIRECTOR. AT 2000 FT; I LEVELED ON RWY HEADING AND CALLED FLAPS UP; CHKLIST AFTER TKOF. I ASSUMED LEVEL CHANGE ON THE MODE CTL PANEL WOULD HOLD 210 KTS AS SELECTED. I FORGOT THE AUTOTHROTTLE WAS INOP AND PWR WAS NOT RETARDED ON LEVEL OFF. THUS; ACCELERATION IN EXCESS REQUIRED. AT 2000 FT THE CAPT WAS DISTRACTED BY CUMULONIMBUS AND RAIN SHOWERS AND WAS ADJUSTING RADAR; DIRECTED ME TO A CERTAIN HEADING FOR WX; WHILE CANCUN SAID TURN L DIRECT PARRA. IN THE TURN THE CAPT SAID WATCH YOUR AIRSPD; AND I NOTICED US PASSING 265 KTS. I THEN RETARDED THE THRUST LEVERS; WONDERING WHAT HAPPENED WITH THE LEVEL CHANGE 210 KTS SPD SELECTED; AND REALIZED LEVEL CHANGE WILL NOT WORK WITHOUT THE AUTOTHROTTLE FUNCTION TO CTL MCP SPD. THERE WAS NO MENTION OF THE SPD ON OUR DEP BY CANCUN OR MERIDA CTL; AND WE CONTINUED ON OUR WAY; CLBING TO FL350. EVENTS LEADING TO THIS MISTAKE: NOT RECEIVING DEP CLRNC UNTIL TAXI OUT. NOT ABLE TO GET CANCUN ATC TO REREAD SLOWLY IN ENGLISH OUR EXACT CLRNC. ASKING 3 TIMES TO REPEAT AND SPELL IN ENGLISH THE EXACT CLRNC. THEN BEING RUSHED ON DEP AS TFC WAS WAITING BEHIND US TO DEPART. ALSO; I ASSUMED LEVEL CHANGE WOULD HOLD MY SELECTED AIRSPD AND I NEGLECTED TO SCAN PROPER AIRSPD CTL WITH A FAILED AUTOTHROTTLE. IN ADDITION; THIS WAS MY FIRST TRIP ON LINE; IOE ON B737-400. THE CAPT COULD HAVE HELPED ME OUT IF HE HAD NOT BEEN DISTRACTED BY RADAR AT LOW ALT.