A PIPER ARROW PLT WAS CLRED TO LAND ON AN OCCUPIED RWY AT PAE.

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APCHED PAE FROM S; INITIAL CONTACT OUTSIDE CLASS D AIRSPACE. CTLR ADVISED STRAIGHT-IN FOR RWY 34R; RPT 2 MI FINAL. THE CTLR WAS VERY BUSY; WORKING LNDGS AND DEPS ON ALL 3 RWYS. THERE WERE AIRPLANES DOING TOUCH-AND-GOES AND AT LEAST 2 IFR DEPS WAITING FOR RELEASE. ONE OF THOSE WAS A CESSNA WHICH HAD BEEN CLRED INTO POS AND HOLD ON RWY 34R. AT 2 MI; I COULD NOT CONTACT THE CTLR DUE TO FREQ SATURATION. THE CTLR WAS WORKING A LOT OF OTHER TFC. WHEN I DID RPT; THE CTLR LOOKED AND ASKED IF THAT WAS ME ON SHORT FINAL; I REPLIED IN THE AFFIRMATIVE. THE CTLR REITERATED THAT HE REALLY DID NEED THE 2 MI CALL; BUT CLRED ME TO LAND ON RWY 34R. I ACKNOWLEDGED; BUT THE CESSNA WAS STILL THERE (FORGOTTEN?). AT APPROX 300 FT AGL; AND THE CESSNA STILL NOT CLRED FOR TKOF; I INITIATED A GAR ADVISING THE TWR AT MY EARLIEST OPPORTUNITY. (I ALSO REMINDED HIM THAT THERE WAS AN ACFT ON THE RWY.) I WAS ADVISED TO 'DO A 360 DEG TURN BEHIND THE AIRPLANE ON DOWNWIND.' SEEING THE AIRPLANE TO FOLLOW; I CLBED TO PATTERN ALT AND GOT IN LINE. AFTER ABOUT 4 MI; IT WAS CLR THAT THE AIRPLANE I WAS TO FOLLOW WAS NOT RETURNING TO PAE; ALTHOUGH OTHER CESSNAS ON TWR FREQ WERE BEING TOLD TO 'EXTEND DOWNWIND' WITH TWR CALLING BASE TURN. I HAD NO WAY TO KNOW AT THE TIME THAT THE ONE I WAS FOLLOWING WASN'T THE ONE BEING ASKED TO EXTEND. I AGAIN CALLED TWR AT MY FIRST OPPORTUNITY TO LET THEM KNOW I WOULD TURN BACK TO THE ARPT. HE THEN SAID MY RADIO WAS WEAK. I SWITCHED XMITTERS. ON MY ACKNOWLEDGEMENT OF THE CLRNC TO LAND ON THE NOW CLR RWY 34R; THE CTLR REPEATED THE WEAK RADIO COMMENT (NOW MY #2 RADIO). NOTHING ELSE WAS SAID. UPON MY DEP SEVERAL HRS LATER; THERE WERE NO REMARKS ABOUT MY RADIOS.