LJ35 FLT CREW FILED TO EWR AND RECEIVED VECTORS TO TEB WITHOUT THEIR KNOWLEDGE. FLT CREW GOES AROUND FROM 300 FT OVER TEB AFTER EWR TOWER INFORMS THEM THEY WERE NOT IN SIGHT.

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WHILE ON APCH INTO NEWARK (EWR); NEW YORK APCH TOLD US TO FLY TO AN INTXN. WE ASKED HIM TO REPEAT THE INTXN BECAUSE WE WERE UNFAMILIAR WITH IT AND WAS NOT SHOWN ON OUR APCH PLATE. HE THEN TOLD US TO FLY A 120 DEG HDG TO JOIN THE LOC. MY FO READ BACK FLY A 120 DEG HDG TO JOIN ILS RWY 22R. WHEN FLYING THE 120 DEG HDG AND WAITING FOR THE LOC TO COME ALIVE; THE CTLR CALLED US AND ASKED WHERE WE WERE. WE RESPONDED THAT WE ARE ON THE 120 DEG HDG WAITING ON THE LOC. HE TOLD US THAT WE PASSED THROUGH THE COURSE AND TOLD US TO FLY THE 230 DEG HDG IF WE WANTED THE VISUAL APCH. WE THEN PROCEEDED TO TURN A HDG OF 230 DEGS AND THEN WE SAW A RWY IN THE LOCATION THE CTLR TOLD US TO LOOK FOR THE ARPT. THEN THE CTLR TOLD US THAT WE WERE HIGH ON THE APCH AND WE TOLD HIM THAT WE COULD STILL CONTINUE WITH NORMAL MANEUVERS. THEN HE (THE CTLR) TOLD US TO GO TO TWR. MY FO RESPONDS GOING TO TWR 118.3 (NEWARK). NEWARK TWR TOLD US TO CONTINUE FOR RWY 22R. AS WE GOT CLOSE TO THE RWY MY FO ASKED IF WE WERE CLRED TO LAND RWY 22R. TWR RESPOND NO; THERE IS TFC ON THE RWY. MY FO RESPONDED CORRECTLY TO TELL THEM WE WERE GOING AROUND BECAUSE WE WERE TOO CLOSE TO THE RWY. THE TWR THEN ASKED WHERE WE WERE. WE RESPONDED THAT WE WERE AT 300 FT ON APCH. THE TWR THEN RESPONDED A FEW SECONDS LATER THAT WE WERE OVER TETERBORO (TEB) ARPT AND GO TO APCH. AS WE DID SO; APCH CTLR TOLD US THAT WE SHOULD HAVE SAID SOMETHING THAT WE WERE GOING TO NEWARK AND NOT TETERBORO; EVEN THOUGH WE FILED FOR NEWARK. HE CLAIMS HE MENTIONED TETERBORO IN ONE OF OUR CLRNCS. THE CTLR THEN RE-VECTORED US BACK AROUND TO NEWARK ARPT; THIS TIME FOR RWY 22R AND OUR LOC CHKED ON THE RWY AND HDG. THIS EVENT ENDED SAFELY. HOWEVER; AT NO TIME DID MY FO OR I EVER RECALL THE CTLR EVER MENTIONING TETERBORO IN ANY ONE CLRNC ON THE RADIO. THE EVENT ALSO HAPPENED AT NIGHT AND IN THE RAIN; WHICH IT MADE HARD FOR US TO TELL EARLIER THAT WE WERE LNDG AT THE WRONG ARPT. FURTHERMORE; WE DID SEE THE RWY LIGHT AT TETERBORO BUT COULD NOT TELL IT WAS THE WRONG ARPT UNTIL WE WERE ALMOST OVER THE ARPT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE REPORTER STATED THAT THE INITIAL VECTORS GIVEN BY APPROACH CONTROL CONFUSED HIM AND HE LOST TRACK OF HIS RELATIVE POSITION TO EWR. THIS ACFT IS NOT EQUIPPED WITH AN FMC OR A MAP DISPLAY WHICH FURTHER COMPLICATED THE PROBLEM. THE CLOUDY CONDITIONS WERE ALSO DETRIMENTAL.