FLC OF A B767-200 EXCEEDED AIRSPD RESTR IN CLASS B AIRSPACE AND BELOW 10000 FT DUE TO 1 OF THE 2 AUTOPLTS MALFUNCTIONING.

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THIS WAS MY FIRST FLT IN THE NEW B767-200. IT WAS ALSO THE CAPT'S. WE HAD BOTH BEEN THROUGH THE COMPUTER BASED TRAINING FOR THE -200 AND -400 SERIES. I HAD DONE 3 TKOFS AND LNDGS IN THE B767-400. WE TOOK OFF IN LOW IFR CONDITIONS. DUE TO THE WET RWY WE USED FULL PWR FOR TKOF. OUR INITIAL ALT WAS 2000 FT. HOWEVER; AS SOON AS I SWITCHED TO DEP; WE WERE CLRED TO 6000 FT. THE ACFT ACCELERATED SO FAST THAT WE DIDN'T EVEN GET THE FLAPS UP BEFORE THE FLAP LIMIT SPD. ON CLBOUT THE PWR NEVER CAME BACK LIKE IT WAS SUPPOSED TO (ON AUTOTHROTTLE). WE ENDED UP CLBING AT AROUND 300 KTS ALL THE WAY TO 17000 FT; A WHICH TIME THE AUTOPLT STARTED TO DSND BACK DOWN. THE CAPT DISCONNECTED EVERYTHING AND LEVELED OFF. WHEN WE TURNED IT BACK ON; IT TRIED TO DSND AGAIN. WE TRIED A DIFFERENT AUTOPLT AND IT WORKED OK. WROTE EVERYTHING UP AT DEST. I THINK WATCHING A COMPUTER BASED TRAINING AND 3 LNDGS IN A DIFFERENT SERIES ACFT DID NOT PREPARE US FOR THE -200 SERIES. IT ACCELERATED MUCH FASTER THAN WE EXPECTED; AND WITH THE AUTOPLT MALFUNCTION; LOW IFR; ETC; WE WEREN'T ABLE TO REACT QUICKLY ENOUGH.