LTSS BTWN LR35 AND SF34 WHILE ON DSCNT VECTORS TO THE ARPT FOR DIFFERENT RWYS. OPERROR.

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LR35 INBOUND FOR RWY 29L DOWNWIND; SF34 INBOUND FOR RWY 36L DOWNWIND. LR35 EXTENDED FURTHER THAN EXPECTED. OBSERVING THIS; I STOPPED SF34 DSCNT TO 3000 FT. LR35 WAS DSNDING OUT OF 2700 FT PLUS OR MINUS AT THE TIME. TURNED SF34 40 DEGS RIGHT AWAY FROM LR35. PLT ACKNOWLEDGED THE TURN; BUT TRACK APPEARED TO CONTINUE NBOUND. CALLED TFC AT 3 MI WITH 1000 FT SEPARATION. I DON'T BELIEVE THIS WAS AN ERROR. MGMNT DOES; AS CONFLICT ALERT WENT OFF SHOWING 500 FT OR 600 FT SEPARATION. I BELIEVE CONFLICT ALERT RPTED INCORRECTLY. UNSURE WHETHER THIS SF34 WAS TCASII EQUIPPED. I SUSPECT IT WAS. PLT DID NOT RPT AN RA; POSSIBLY SUPPORTING MY POS OF NO LOSS OF SEPARATION. THIS FACILITY HAS EXPERIENCED DATA BLOCK AND ALT PROBS BEFORE. I HAVE BEEN (2 MONTHS OR SO) PREOCCUPIED WITH THE BEHAVIOR OF MGMNT AT OUR FACILITY; AND CONCERNED THAT MY EMPLOYMENT COULD BE IN JEOPARDY. I BELIEVE THAT IF I HAD NOT BEEN PREOCCUPIED BY MGMNT PERSONNEL POLICIES; THE SIT WOULD NOT HAVE DEVELOPED. I ALSO BELIEVE THAT I WOULD HAVE ENSURED SEPARATION RATHER THAN PROVIDED SEPARATION BY LUCK. FIX ASR9 ARTS TO DISPLAY ONLY CORRECT DATA.