B737 Captain received multiple TCAS RA alerts followed by low altitude alerts due to parallel approaches.

Narrative

On the RNAV ZZZZZ visual XXL we had pairing traffic to the parallel Runway. At approx. 1500ft AFE (Above Field Elevation) we received a TCAS RA that commanded a descent. I followed the RA down to 1000ft where tower issued us a low altitude alert and I elected to Go Around. We were re-sequenced for another visual approach to XXL. This time we were given a heading to intercept the localizer so we flew the ILS for course guidance on our visual approach. We received an RA at about 1500ft which again commanded a descent. I followed the RA again down to 1000ft where we received a 'GLIDESLOPE' aural and tower again issued a low altitude alert. I called another Go-around and was resequenced again for a third visual to XXL. At this point we were indicating 5;000lbs of fuel onboard. I advised my FO that if we went below 4600lbs we would be declaring Minimum Fuel as we would be committed to landing ZZZ. ZZZ1 was a 600lb fuel burn from ZZZ. The third visual approach was completed to a landing without any issues due to better staggering of the pairing traffic.