FK100 ACFT ON APCH HAD TCASII RA ON APCH; TOOK EVASIVE ACTION AND THEN GAR. NEXT APCH ON DIFFERENT RWY HAD ANOTHER TCASII RA AND AGAIN EVADED WITH CTLR INSTRUCTING AN IMMEDIATE DSCNT; BUT RESULTING IN ANOTHER GAR.

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UPON ARR IN DFW TERMINAL AREA; FLT WAS CLRED FOR ILS RWY 17L APCH. WHILE MANUALLY TRACKING LOC INBOUND AND APPROX COINCIDENT WITH GS INTERCEPT; WE RECEIVED A TCASII DSND; DSND NOW RA. BECAUSE RA WAS RECEIVED COINCIDENT WITH GS INTERCEPT; WE STARTED DOWN THE GS WHILE SIMULTANEOUSLY COMPLYING WITH RA. FMA CHANGED FROM GS AND LOC TO VERT SPD AND HEADING SELECT RESPECTIVELY REQUIRING RESELECTION OF LAND MODE WHILE DSNDING ON GS BTWN APPROX 1000 FT AND 800 FT AFL. UPON REACHING DECISION HT; FLT EXPERIENCED HVY PRECIPITATION RESULTING IN LOSS OF CONTACT WITH RWY ENVIRONMENT RESULTING IN AN UNEVENTFUL MISSED APCH FOLLOWED BY RADAR VECTORS FOR AN ILS RWY 18R APCH. AT 3000 FT MSL; SHORTLY AFTER CAPTURING ILS RWY 18R LOC WELL BEFORE GS INTERCEPT; WE AGAIN RECEIVED A DSND; DSND NOW TCASII RA. AN IMMEDIATE DSCNT WAS INITIATED AND ATC WAS NOTIFIED WE WERE DSNDING IN RESPONSE TO A TCASII RA. ATC RESPONDED BY DIRECTING US TO DSND IMMEDIATELY TO 2200 FT. ATC DIRECTION WAS COMPLIED WITH WHILE SIMULTANEOUSLY MAKING VISUAL CONTACT WITH SLIGHTLY HIGHER OPPOSITE DIRECTION JET TFC. UNSURE OF LATERAL OR VERT SEPARATION BUT SEEMED TO BE MINIMAL. LAND MODE WAS IMMEDIATELY REENGAGED BUT SEPARATION FROM PRECEDING ACFT SUBSEQUENTLY BECAME TOO SMALL RESULTING IN AN ATC DIRECTED GAR. AN UNEVENTFUL THIRD APCH AND LNDG ON RWY 18R WAS SUBSEQUENTLY CONDUCTED WITHOUT FURTHER INCIDENT.