A CPR MDT JET CREW FLEW WELL BELOW THE ILS RWY 25L FLT PATH AT LAX. ERROR ADMITTED. MULTIPLE ALTDEVS.

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FLEW CIVET 1 ARR TO LAX. WE WERE CLRED FOR ILS RWY 25L APCH OF LAX AFTER ARNES INTXN. ATC ASSIGNED SPD RESTRS PRIOR TO ARNES STARTING FROM 250 KTS; 270 KTS; THEN 200 KTS. CROSSED ARNES AT 10000 FT; THEN PF STARTED DSCNT ON LOC TO INTERCEPT AND FLY THE GS. WE WERE INITIALLY ABOVE THE GS WHEN WE WERE GIVEN A SPD REDUCTION TO 180 KT. AT THE SAME TIME WE SELECTED 2100 FT ON ALT ALERTER TO KEEP US ABOVE GS JUST BEFORE LIMMA. THEN WE RECEIVED A SPD REDUCTION TO 160 KTS AND SHORTLY AFTER THAT A REDUCTION TO 150 KTS. BRASILIA ACFT TFC WAS SIMULTANEOUSLY POINTED OUT AT 4 MI AHEAD OF US. PF WAS TRYING TO FLY MANUALLY; SLOW THE ACFT IN INCREMENTS; LOOKING FOR THE TFC. I WAS ALSO LOOKING FOR THE TFC INTENSELY SINCE IT WAS HAZY AND EVEN THOUGH ATIS RPTED 7 SM VISIBILITY IT WAS VERY HARD TO SEE. WHEN I GOT BACK TO THE INSTS; I NOTICED THAT WE WERE BELOW THE GS AND WERE PASSING FUELR DSNDING THROUGH ABOUT 6500 FT AT THE SAME TIME ATC ASKED OUR ALT. I RPTED 6300 FT AND CORRECTING SINCE I NOTICED WE SHOULD HAVE MAINTAINED 8000 FT TILL FUELR. ATC ALSO POINTED OUT THAT WE SHOULD BE AT 8000 FT AT FUELR AND ASKED IF I KNEW THAT. I ANSWERED 'YES.' ATC THEN SAID TO MAINTAIN 3500 FT OR ABOVE TO HUNDA AND CLRED US FOR THE ILS RWY 25L APCH. I BELIEVE THAT THE DEV WAS CAUSED BY DISTRS OF CHANGING SPD OFTEN; TFC POINTED OUT BY ATC AND THE WX CONDITION. DEV COULD HAVE BEEN AVOIDED POSSIBLY BY USING AUTOPLT/COUPLED APCH; SETTING PROGRESSIVE ALTS FOR EACH FIX ON THE ALT ALERTER.