LTSS OCCURRED WHEN RPTR'S ACFT RESPONDED TO A TCASII RA TO DSND AWAY FROM AN OFF COURSE ACR AT THE SAME ALT AND CONFLICTED WITH A THIRD ACFT. CTR CTLR WAS VECTORING RPTR'S ACFT AWAY FROM THE ACR PRIOR TO THE TCASII RA. PLTDEV.

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CLRNC WAS DIRECT JFK AT FL290. OBSERVED POP-UP TCASII TFC AT SAME ALT AT APPROX 15 NM; CLOSING. (DISTANCE WAS ONLY A GUESS -- COULD BE OFF QUITE A BIT.) AS WE LOOKED AT TCASII (DEDICATED DISPLAY SHARED WITH RADAR DISPLAY -- CTR CONSOLE) ATC CALLED US TO TURN 20 DEGS R FOR TFC. SO I STARTED THE R TURN -- ON AUTOPLT. ATC REPEATED CALL FOR 20 DEG R TURN. WE SIMULTANEOUSLY GOT A TCASII RA 'DSND; DSND.' I THEN CLICKED OFF THE AUTOPLT AND STARTED APPROX 800 FPM DSCNT TO LEVEL AT FL285. I WAS JUST STARTING DSCNT WHEN ATC CALLED FOR IMMEDIATE R TURN TO 090 DEG RADIAL (APPROX 60 DEGS MORE). THIS TURN TURNED US INTO CLBING TFC THAT WAS (I BELIEVE) LEVELING AT FL280. WE IMMEDIATELY GOT A SECOND RA TO 'CLB; CLB.' WE CLBED BACK UP TO FL290 AND BOTH CONFLICTS WERE RESOLVED. WE WERE THEN CLRED DIRECT JFK. SUBSEQUENT DISCUSSION WITH ATC A FEW MINS LATER REVEALED THAT INITIAL CONFLICT WAS CAUSED BY ACFT; CLRED SBOUND ON J79; OFF COURSE. THE REAL SAFETY ISSUES IN MY MIND ARE: 1) RESPONDING TO CTLR WHILE RESPONDING TO TCASII COMPOUNDED THE INITIAL SIT; AND CAUSED SECOND CONFLICT. 2) ZDC (PLUS MOST OTHERS) AT NIGHT HAVE SINGLE CTLRS COVERING TOO MANY FREQS. HE CAN'T DO HIS/HER JOB TO THE LEVEL NECESSARY FOR ADEQUATE SAFETY MARGIN. RADIO CONFUSION COMPOUNDED THIS PROB. SUPPLEMENTAL INFO FROM ACN 371353: AFTER MULTIPLE VECTORS AND CLRNCS; SOME CONFUSION EXISTED AND WE ENDED UP FLYING E OF COURSE. AFTER RECEIVING A VECTOR FROM ZDC FOR COURSE CORRECTION; WE RECEIVED A VISUAL ON TFC BOTH VISUALLY AND ON TCASII. AS WE RECEIVED A TCASII WARNING WE WERE ALREADY TURNING AWAY FROM TFC. ALSO AT THE TIME OF INCIDENT NAVAIDS WERE SCALLOPING.