ACR X NON ADHERENCE TO ATC CLRNC READBACK WRONG HDG HAD LTSS FROM ACR Y. SYS ERROR. PLTDEV.

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I CLRED ACR X FOR TKOF RWY 13L. ACR X HAD RECEIVED HIS IFR CLRNC EARLIER THROUGH PDC (PRE DEP CLRNC) A NEW PROC AT JFK. THE CLRNC WAS FLY HDG 090; MAINTAIN 5000 FOR RADAR VECTORS. ACR X READ BACK RWY HDG 5000; I DID NOT HEAR RWY HDG AND EXPECTED A L TURN TO 090. HOWEVER; DUE TO STRONG XWINDS RPTED BY AN INS EQUIPPED ACFT (210 AT 27 AT 400 FT); I OBSERVED A LOW STRAIGHT CLB BY ACR X BUT DEEMED IT NORMAL DUE TO THE XWIND COMPONENT. WHEN ACR X CLRED/PASSED RWY 22L; PASSING THE FINAL APCH COURSE I CHANGED HIM TO DEP CTL; HAVING NO FURTHER TFC CONFLICTS. I WAS VERY BUSY AT THIS TIME WORKING 3 RWYS AT ONCE. THERE WERE 2 DEP CTLRS ON TO HANDLE THE AMOUNT OF TFC THAT I WAS MOVING. MY PROBLEM OCCURRED WHEN I CLRED ACR Y FOR TKOF ON RWY 13R; STAGGERING HIM APPROX 1.5 MI BEHIND ACR X. ACR Y CLRNC WAS TO TURN L HDG 110; AND HE DID. BELIEVING I WOULD HAVE AT LEAST 15 DEG DIVERGENCE AND AT LEAST 1 MI LONGITUDINAL SEPARATION (SEPARATION MINIMA; 7110.65; ATC HANDBOOK); I NEVER REALIZED THERE WAS A PROBLEM. ACR X NEVER TURNED; ACR Y DID AND ALLEGEDLY PASSED BEHIND ON THESE PARALLEL (13L AND 14R) RWYS ALL TFC MAKING L TURNS SHOULD BE WORKED BY THE SAME CTLR. AS THESE ACFT CHKED IN WITH NEW YORK DEP THEY WERE TOLD RADAR CONTACT; CLB AND MAINTAIN; AND NOTHING MORE. EACH ONE WAS WORKED BY A DIFFERENT CTLR; AND NEITHER DEP CTLR KNEW OF THE CONFLICT UNTIL ACR Y COMPLAINED APPROX 8-10 MI OUT. I REALIZE THAT PLTS HAVE WORKLOAD PROBLEMS TOO; BUT THEY SHOULD NOT RUSH THE READBACK; MAKE THE READBACK INTELLIGIBLE. IF I HAD HEARD ANY HDG YOU CAN BET I WOULD HAVE TAKEN APPROPRIATE ACTION. I HAVE NOTICED ON OTHER OCCASIONS THAT PDC ACFT DON'T REFER TO THE SID WHEN THE RWY CHANGES AND FLY THE WRONG PROC. IN THIS CASE ACR X WAS ISSUED 090; I DON'T KNOW HOW HE CAME UP WITH RWY HDG. HDG 130 IS NOT IN THE COMPUTER FOR ISSUANCE; BUT HDG 220 (RWY HDG FOR 22R DEP) IS; BUT WAS NOT ISSUED. WE HAVE A FORMAL NOISE ABATEMENT POLICY HERE CAUSING RWY ROTATION POLICIES; CONFIGN PROBLEMS DUE TO PROX OF LGA AND EWR AND A GENERAL COMPLACENCY BY OUR SUPVRS AS TO WHAT IS SAFE; WHEN TO CHANGE RWYS. THIS NIGHT WE SHOULD HAVE BEEN ON THE 22'S AND I WOULD NOT HAVE HAD AN OPERROR PINNED ON ME.