ACR X AFTER GAR BECAUSE OF OCCUPIED RWY RECEIVED TCASII RA HAD NMAC LTSS FROM ACR Y. SYS ERROR.

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ACFT ON RWY FORCED ACR X TO GAR COMMENCING AT APPROX 400 FT AGL. DURING INITIAL CLB TCASII ACTIVATED WITH RA. ACR Y VISUALLY ACQUIRED AT 12 O'CLOCK MOVING R TO L PERPENDICULAR TO RWY CTRLINE. THIS WAS APPROX 1000 FT AGL. WE SLOWED CLB MAKING A SLIGHT R TURN TO AVOID COLLISION. TWR DID NOT WARN US OF THE ACR Y POS PRIOR TO NEAR MISS. ACR Y WAS ON VISUAL APCH TO RWY 29 AND WAS FOLLOWING INSTRUCTIONS TO CROSS OVER THE FIELD AT 1000 FT. CONVERSATION WITH TWR SUPVR BROUGHT OUT THE DETAILS. HE SAID THE TWR POS CTLR HAD BEEN YELLED AT AS THIS EVENT OCCURRED. I TOLD HIM TO YELL AT HIM AGAIN FOR ME. TWR SUPVR ALSO WAS UNDER THE IMPRESSION THAT WAKE TURB SEPARATION FOR TKOF BEHIND A HVY JET (WDB HAD JUST DEPARTED CAUSING ACFT IN POS TO ASK FOR A DELAY) WAS 1 1/2 MINS OR 5 MI. THE CORRECT ANSWER IS 2 MINS OR 5 MI. HE REFUSED TO ADMIT TO ME THAT HE HAD SAID 1 1/2 MINS TO ME. I MADE HIM GET OUT THE HANDBOOK OVER THE PHONE TO FIND THE 2 MIN STATEMENT. DURING THE GAR EVOLUTION TCASII WAS YELLING AT US; LNDG GEAR AURAL WARNING WAS YELLING AT US AS FLAPS WERE BROUGHT UP TO 15 DEGS. TWR WAS GIVING US INSTRUCTIONS (THOUGH NOT MENTIONING THE ACR Y TFC) AND WE WERE TRYING TO COMMUNICATE WITH EACH OTHER IN THE COCKPIT. I'M GLAD I WAS LOOKING OUT THE WINDOW WITH ALL THE DISTRS GOING ON!