AN LTT ACR CREW MADE 2 APCHS TO WRONG ARPTS AT NIGHT BEFORE THEY FOUND THE RIGHT RWY.

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LATEST ATIS FOR GSP ACQUIRED 50 NM OUT RPTED 6500 FT SCATTERED 12 MI VISIBILITY. CREW BRIEFED ILS FOR RWY 3 AT GSP. ON DSCNT; APPROX 25 NM OUT; APCH ANNOUNCED NEW ARR ATIS BUT DID NOT READ NEW CEILING/VISIBILITY. APCH CALLED TFC TO US; AN MLG ON R BASE TO RWY 3 AT GSP; FO RESPONDED (PNF) A RADAR SECTORS. REACHING 2500 FT ABOUT 15 NM OUT; APCH CALLED ARPT TO US ABOUT 1 O'CLOCK; 12 MI. SHORTLY THEREAFTER; WE SAW A RWY AND CALLED ARPT IN SIGHT AND WERE CLRED VISUAL TO RWY 3. GREER NCB SHOWED APPROX CORRECT LINE-UP. ABOUT 3 NM OUT OF OUR VISUAL RWY; WE QUESTIONED THE ALIGNMENT/OTHER TFC AND TRIED TO QUERY APCH TWICE BUT THEY WERE BUSY VECTORING ANOTHER ACFT. ABOUT 2 NM OUT; WE HAD ONLY DSNDED TO 2200 FT WHEN APCH CALLED US TO CLB TO 2500 FT. THAT WE WERE NOT AT THE RIGHT ARPT. WE WERE JUST UNDER A SCATTERED CEILING CLBED AND FLEW NEW VECTORS TO GSP. APCH AGAIN CALLED ARPT TO US AT 12 O'CLOCK; 9 NM WE SAW A RWY N/S AND AGAIN CALLED IT IN SIGHT; BUT WITHIN 2 OR 3 MI CALLED APCH TO TELL THEM LOC DOES NOT ALIGN WITH THIS RWY. AGAIN WE WERE INFORMED WE'RE NOT LINED UP WITH GSP SO GIVEN ANOTHER VECTOR AND TOLD TO STAY AT 2500 FT. WE SHORTLY WERE LINED UP WITH GSP AND; RECEIVING LOC; BEGAN A DSCNT TO LAND. APCH SHOULD HAVE NOTED NEW (LOWER) CEILINGS AND VISIBILITY IN NEW ATIS. THEY TWICE CALLED OUT ARPT POS FURTHER THAN THE VISIBILITY ALLOWED. WE WERE TRYING TOO HARD TO HELP THEM OUT BY CALLING VISUAL APCH. CREW DID NOT DSND AND DID TRY TO GET ASSISTANCE FROM APCH BOTH TIMES WHEN IT WAS APPARENT THAT THE ARPTS DIDN'T SEEM RIGHT. CONTRIBUTING FACTORS: DUE TO COMPANY POLICY; CREW HAD ONLY ONE SET OF APCH PLATES. CAPT (PF) HAD NO PLATES TO CHK ON ARPT ENVIRONMENT. ALSO CONTRIBUTING; ATC EAGERNESS TO EASE ITS WORKLOAD BY TRYING TO COAX CREW TO CALL ARPT IN SIGHT 12 MI OUT.