A320 FLT CREW ORDERED TO FLY TRIP WITH MULTIPLE DEFERRED ITEMS. NUMEROUS DISTRACTING ECAM PROCS ENRTE RESULTED.

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SEVERAL DEFERRED ITEMS ON ACFT IN IAH. CAPT INITIALLY REFUSED ACFT BUT STATED TO THE CREW THAT A DUTY FLT MGR HAD ORDERED HIM TO TAKE THE ACFT. ACFT DEPARTED WITH A CURRENT MAINT RELEASE. SEVERAL ANOMALIES DURING CLBOUT WERE NOTED. DISPATCH; MAINT CTL AND A PASS-RIDING A320 CAPT WERE CONSULTED. ECAM/FLT MANUAL PROCS WERE ACCOMPLISHED. APCHING THE SFO AREA; COMPLETELY DIFFERENT ANOMALIES WERE ENCOUNTERED. CREW ACCOMPLISHED APPLICABLE ECAM/FLT MANUAL PROCS. MAINT CTL; DISPATCH; AND ATC WERE INFORMED; AS APPLICABLE. NORMAL APCH/LNDG ACCOMPLISHED. RECOMMENDED THOROUGH INSPECTION/REPAIR OF ACFT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR ADVISED THAT GREATEST CONCERN INITIALLY WAS THE NUMBER OF DEFERRED ITEMS AND THE LACK OF POTABLE WATER FOR A MEDIUM RANGE FLT. ENRTE; NUMEROUS ECAM PROCS RESULTING FROM DEFERRED ITEMS WERE DISTR ENOUGH TO CAUSE A REQUEST TO A QUALIFIED DEADHEADING PLT TO ASSIST IN THE COCKPIT. MAJOR PROBS TURNED OUT TO BE DEFERRED RADIO ALTIMETERS WHICH; NONETHELESS; WERE CAUSING GPWS WARNINGS DURING FLT AS WELL AS DEGRADING ACFT CTL TO 'DIRECT LAW' (IE: MANUAL CONTROL). DURING THE APCH PHASE. THIS MALFUNCTION REQUIRED A GAR IN ORDER TO COMPLETE APPROPRIATE CHKLISTS AND ABNORMAL PROCS.