A FLT CREW LANDED FOLLOWING AN UNSTABILIZED APCH. ATC CHANGED RWY ASSIGNMENT WHEN ACFT ON DOWN WIND AND CREW FAILED TO SET UP FOR APCH.

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INITIALLY; HAD THE ILS XXL BUILT AND BRIEFED INTO FMS. ON VECTORS TO THE APCH; ATC SWITCHED OUR RWY TO XXR AND THE APCH WOULD BE RNAV (GPS) RWY XXR. IN SWITCHING APCHS; MISSED THE FACT THAT THE ACFT WAS NOT GPS EQUIPPED (VNAV ONLY). RE-BRIEFED AND SET UP FOR THE APCH. AUTOPLT ON AND IN NAV CAPTURE MODE. ACFT DID NOT CAPTURE WHEN CTRED ON THE APCH PATH. USED 'HDG SELECT' TO GET BACK ON THE APCH COURSE AND DSNDED AT THE FAF. GND CONTACT AND RWY WAS IN SIGHT WITHIN A FEW HUNDRED FT OF DSNDING. WHILE STILL TRYING TO FIGURE OUT WHY ACFT DIDN'T CAPTURE; WE RECEIVED A LOW LEVEL ALERT FROM TWR. ACFT WAS IN VMC CONDITIONS AT THIS TIME. CORRECTED ALT; AND XFERRED CTL OF ACFT TO CAPT AND CONTINUED TO UNEVENTFUL LNDG BY CAPT. DISTR OF SWITCHING RWYS AND ACFT NOT PERFORMING AS THOUGHT CONTRIBUTED TO DSNDING LOW. ALSO; SHOULD HAVE REQUESTED A VISUAL APCH. SHOULD HAVE REQUESTED A DIFFERENT APCH AND GONE MISSED APCH AT THE 'NON-CAPTURE' POINT. SUPPLEMENTAL INFO FROM ACN 766010: DOWNWIND FOR RWY XXL; R-HAND TFC; ADVISE CHANGE TO RWY XXR RNAV/GPS; LOAD FMS QUICK BRIEF; FO NOW PF; TURN BASE; CONFIGURING. PLANNING VNAV APCH AND DSCNT. OVER ABC AT 3100 FT; SEE ARPT; ACFT DID NOT CAPTURE FINAL COURSE. IN DSCNT; LATE TO GET BEFORE LNDG CHKLIST DONE. SEE RWY ALL THE WAY. CAPT TAKES ACFT ABOVE MINIMUMS. NO LEVELOFF; LOOKING AT RWY LOOKS LOW. TWR ADVISE ALT ALERT. CORRECT AND LAND. WX BETTER THAN RPTED MAY HAVE LED TO CONTINUING APCH; GAR MAY HAVE BEEN MISTAKE WITH TFC TAKING OFF PRIOR LNDG. SHOULD NOT HAVE DONE APCH; VISUAL APCH SHOULD HAVE BEEN REQUIRED BUT JUST TOO BUSY WITH CHKLIST AND FMS CONFUSION. DEBRIEFED WITH FO; AGREE WE SHOULD HAVE STAYED WITH RWY XXL. POOR DECISIONS WITH LATE RWY CHANGE.