A FLT INSTRUCTOR IN A DA10 AT TEB EXPERIENCES CONFUSION WITH ATC INSTRUCTIONS.

Narrative

I WAS OPERATING A FALCON 10 AS AN INSTRUCTOR PLT; WITH 2 OTHER INSTRUCTORS FROM TETERBORO. WE WERE OPERATING ON AN IFR FLT PLAN FROM MJX TO TEB; AND WERE CLRED FOR THE VOR DME A APCH. ALL PHASES OF FLT WERE NORMAL UNTIL WE WERE CHANGED OVER TO TEB TWR. WHEN WE CALLED TEB TWR; WE WERE INSTRUCTED TO MAINTAIN 1500 FT UNTIL FURTHER ADVISED. UPON XING OVER THE TOP OF THE ARPT THE TWR INSTRUCTED US TO TURN R 20 DEGS. AFTER MAKING THE TURN; OUR TCAS SYS GAVE US A WARNING OF TFC AND I NOTED AN ACFT 100 FT BELOW US AND CLBING. THE TWR THEN INFORMED US OF THE TFC WHICH WAS A CITATION WHO WAS DEPARTING THE AREA ON A L DOWNWIND AND FOR US TO TURN DOWNWIND. AFTER WE WERE ESTABLISHED ON THE L DOWNWIND AND PASSING ABEAM THE NUMBERS; SOME ACFT HAD A STUCK MIKE ON THE FREQ. WE THEN LOOKED FOR TFC AND OBSERVED A CHALLENGER ON FINAL. WE THEN TURNED OUR BASE BEHIND THE CHALLENGER AND ABOUT THE TIME WE WERE GOING TO TURN FINAL THE FREQ BECAME CLR. THE TWR BEGAN TO SHOUT AT US AND INFORMED US THAT WE CUTOFF THE CHALLENGER AND FIRST TO MAKE A R 270 DEG TURN BUT THEN TO DSND TO 1000 FT AND THEN CIRCLE. I INFORMED THE TWR WE WERE UNABLE TO DSND TO 1000 FT; HE THEN STARTED TO ARGUE WITH US SO I THEN TOLD HIM THAT WE WERE EXECUTING THE PUBLISHED MISSED APCH PROC. WE THEN CONTACTED APCH CTL AND INFORMED HIM THAT WE WERE ON THE MISSED APCH. HE THEN ASKED WHAT WAS THE PROB. WE INFORMED HIM ABOUT THE PROB WITH TEB TWR. HE THEN TURNED US BACK ON THE APCH INSIDE OF JAYMO AND TO CALL THE TWR. WE THEN CALLED TEB TWR. TEB TWR THEN STARTED TO INFORM US TO MAINTAIN 1500 FT AND NOT TO TURN BASE UNTIL HE TOLD US LIKE THE LAST TIME. (NO SUCH CLRNC WAS EVER GIVEN ON THE PRIOR APCH.) AFTER TURNING DOWNWIND; I ASKED THE TWR FOR A SEQUENCE. THERE WAS NO RESPONSE. ABOUT 4 MI; THE TWR TOLD US TO TURN BASE. I THEN ASKED AGAIN FOR OUR SEQUENCE. THE TWR THEN INFORMED US THAT WE WERE #1 AND CLRED TO LAND. I RESPONDED TO THE CLRNC AND NOTED AN ACFT ON FINAL IN FRONT OF US. AFTER LNDG AND CLRING THE RWY; I THEN CALLED GND CTL AND WAS ISSUED A TAXI CLRNC TO TAXI VIA TXWY L TO TXWY C AND TO HOLD SHORT OF RWY 24. WE WERE THEN CLRED TO THE RAMP VIA TXWY C. UPON REACHING TXWY P; I NOTED A TWIN CESSNA APCHING FROM OUR L AT A FAST TAXI RATE. JUST AS WE STOPPED SHORT OF TXWY P; THE TWIN CESSNA PASSED OUR NOSE. I THEN CALLED GND CTL AND WAS TOLD TO STAND BY. AFTER WE WERE ON THE RAMP; GND CTL CALLED US BACK AND ASKED WHAT WE WANTED. I THEN ASKED GND CTL ABOUT THE TWIN CESSNA AND WHO WAS TO GIVE WAY. HIS REPLY WAS HE WAS SORRY.