B757-200 CREW WAS SO DISTR BY INOP AUTOTHROTTLES THEY HAD A SPD AND ALTDEV.

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AUTOTHROTTLES MALFUNCTIONED ON TKOF ROLL; RWY 18L CVG. TKOF WAS CONTINUOUS. IT WAS THE COPLT'S LEG; AND HE IS NEW (LESS THAN 2 MONTHS) ON THE ACFT. CLEAN-UP WAS NORMAL. I MADE 1 ATTEMPT TO RESET AUTOTHROTTLE SYS -- IT DID NOT RESET. TWR PASSED US TO APCH AS WE PASSED 5000 FT FOR 6000 FT INITIAL LEVELOFF. COPLT BEGAN LEVELOFF FOR 6000 FT AND FAILED TO REDUCE PWR. HE LATER STATED THAT THIS WAS THE FIRST TIME HE'D FLOWN WITHOUT AUTOTHROTTLE EXCEPT ON APCH. AT THE MOMENT; I NOTICED OUR SPD GOING THROUGH 280 KTS FAST APCH WAS GIVING US A CLB TO 8000 FT. I HEARD AND BELIEVE I REPEATED 9000 FT. I SET 9000 FT IN THE ALT WINDOW. WE WERE ON THE ROCKET DEP THAT HAD A HARD LEVELOFF AT 6000 FT. COPLT FOLLOWED COMMAND BARS FOR LEVELOFF; EVEN THOUGH WE WERE CLRED HIGHER. I WENT HEADS DOWN TO DELETE 6000 FT RESTR IN THE FMS. HE PULLED NOSE UP TO HELP BLEED SPD; NOW OVER 300 KTS. WE CLBED RAPIDLY TOWARD 9000 FT. ALL WAS WELL; SPD RETURNING TO NORMAL. AT 8400 FT DEP CALLED AND SAID 'ACR X; I SAID 8000 FT !' I REPEATED '8000 FT?' HE SAID '8000 FT.' COPLT PUSHED OVER TO RETURN TO 8000 FT. I SAW 8600-8700 FT BEFORE WE STARTED DOWN. AS WE REACHED 8700 FT; ABOUT TO LEVEL OFF; DEP CLRED US TO 13000 FT. HE MADE NO MENTION OF CONFLICTS -- NO TARGETS ON TCASII.