AN APPARENTLY CONFUSED CONTRACT TWR CTLR ASKED MORE SARCASTIC QUESTIONS OF THE RPTR THAN DISSEMINATING URGENTLY NEEDED INFO. AN NMAC OCCURRED AS A RESULT OF THE CTLR'S OVERUSE OF THE FREQ.

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I WAS HELPING A STUDENT WITH LNDGS; DOING TOUCH AND GOES AT FULLERTON MUNICIPAL. WE WERE IN R CLOSED TFC. ON OUR SECOND TOUCH AND GO; THE TWR SAID (AS WE UNDERSTOOD IT); 'CESSNA 123; L TFC; RWY 24.' WE READ BACK THE INSTRUCTION AND; AS WE WERE ROLLING OUT ON; L XWIND; TWR ASKED US IF WE WERE DEPARTING. WE TOLD THEM NO. HE TOLD US THEN TO CONTINUE L DOWNWIND AT 1100 FT. SO; WE SAID 'ROGER.' AS WE TURNED TO BASE LEG; TWR SAID 'CESSNA 123; WHY ARE YOU ON BASE? MAKE IMMEDIATE R TURN. TFC 12 O'CLOCK POS; CESSNA 182 ON FINAL.' WE THEN SAW TFC COMING FROM OUR R TO L IN FRONT OF US. WE TURNED A STEEP R TURN TO AVOID THE TFC. TWR THEN ASKED WHY WE WERE ON BASE. HE TOLD US TO EXTEND OUR DOWNWIND. WE THEN TOLD HIM WE UNDERSTOOD THAT HE WANTED US TO FLY THE DOWNWIND AT 1100 FT; IN WHICH WE COMPLIED. WE CONTINUED TO FLY DOWNWIND UNTIL THE TWR CALLED OUR BASE. THE FACTOR THAT LEAD TO THE NEAR-MISS IS THE MISCOM BTWN THE CTL TWR AND US. ALSO; WE DID NOT SEE THE ACFT ON FINAL UNTIL THE CTL TWR TOLD US. PROPER CORRECTIVE ACTIONS WERE TAKEN. IT IS POSSIBLE THAT THERE WAS A BLOCK (DUAL XMISSION) ON THE RADIO. WHEN THE TWR GAVE OUR INSTRUCTIONS; BUT BOTH MY STUDENT AND I HEARD THE TWR SAY; 'FLY THE DOWNWIND AT 1100 FT;' BUT DID NOT HEAR; 'EXTEND DOWNWIND'.