B757-300 CREW DID NOT HAVE THE TKOF FLAPS SET; AND HAD A TKOF WARNING HORN; REJECTED TKOF CAUSING PBI LCL CTLR TO ISSUE GAR TO ACFT ON FINAL.

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DID NOT SET FLAPS ON AFTER START CHKLIST. WAS RUSHED FOR TKOF BY OTHER ACFT ON FINAL. CLRED FOR IMMEDIATE TKOF. WE WERE STILL COMPLETING TKOF CHKLIST WHILE ON RWY. I PUSHED CONFIGN BUTTON AND GOT FLAPS WARNING. I CHOSE TO TAXI CLR AND FIGURE OUT IF ANYTHING ELSE WAS MISSED. WE RESET FLAPS AND DEPARTED NORMALLY. SUPPLEMENTAL INFO FROM ACN 567246: I STARTED THE AFTER START FLOW; BUT WAS AGAIN DISTR BY RADIO XMISSIONS FROM GND. AT THIS POINT; I HAD COMPLETED PART OF THE AFTER START FLOW BUT HAD NOT SET THE FLAPS AS I WAS SUPPOSED TO. I WAS CLRING AS WE STARTED TO TAXI AND JUST FORGOT TO COMPLETE THE CHKLIST. IT WAS A SHORT TAXI TO THE TKOF RWY 27L. SMALL JET PASSED OVER THE RWY THRESHOLD. TWR TOLD US TO TAXI ONTO THE RWY FOR AN IMMEDIATE TKOF; AS ANOTHER ACFT WAS ON 4 MI FINAL. THE CAPT CALLED FOR THE BEFORE TKOF CHKLIST. I MADE THE TKOF ANNOUNCEMENT TO THE FLT ATTENDANTS; CHANGED ONE OF THE RADIO FREQS TO DEP; AND STARTED THE CHKLIST. I WAS RUNNING THE CHKLIST AS WE TOOK THE ACTIVE WHEN WE GOT A FLAP CONFIGN AURAL CAUTION AND EICAS MESSAGE. THE CAPT HAD PUSHED THE TKOF CHK SWITCH WHICH HAD ACTIVATED THE FLAP CONFIGN WARNING EICAS MESSAGE. IT TOOK A SECOND OR TWO TO UNDERSTAND WHAT WE HAD. THE CAPT RETARDED THROTTLES AND THE AURAL WARNING CEASED. AT THIS POINT; WE HAD ROLLED A SHORT DISTANCE AND JUST TO VERIFY WHAT WE HAD; ELECTED TO EXIT THE RWY AND TAXI BACK TO THE RWY FOR ANOTHER TRY. AT THE SAME TIME; TWR TOLD THE ACFT ON FINAL TO GO AROUND. WE ONLY REALIZED OUR PROB AS WE WERE TAKING THE RWY AND IN PLAYING IT SAFE; CAUSED ANOTHER ACFT TO GO AROUND.