A BA3200 LANDS AT UNV; PA; WITH THE PARKING BRAKE SET; EFFECTIVELY LOCKING THE WHEELS. THE ACFT YAWS 135 DEGS AND SKIDS OFF TO THE SIDE OF THE RWY; WITH THE L MAIN GEAR AND NOSEWHEEL OFF THE RWY.

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WHILE CONDUCTING IOE TO UNV; I MOVED THE PARKING BRAKE HANDLE TO ILLUSTRATE A POINT AND TO REACH A SCREW THAT NEEDED TO BE RESECURED. UPON ARR AT OUR DEST; WE CANCELED IFR AND FLEW A NORMAL VISUAL APCH TO RWY 24. WHILE TURNING FROM BASE TO FINAL; UNICOM ADVISED THE WINDS WERE 280 DEGS AT 19 KTS GUSTING TO 25 KTS. ON TOUCHDOWN ON THE CTRLINE; THE ACFT DECELERATED FASTER THAN NORMAL; AND FELT LIKE THE MAIN WHEELS WERE LOCKED. KNOWING THE ACFT BRAKES TO BE TOUCHY; I TWICE COMMANDED THE FO TO NOT TOUCH THE BRAKES. AT MY SECOND COMMAND; HE RESPONDED THAT HIS FEET WERE FLAT ON THE FLOOR. I THEN ENSURED THE PARKING/EMER BRAKE WAS COMPLETELY DISENGAGED. I WAS UNABLE TO MAINTAIN DIRECTIONAL CTL AS THE ACFT CONTINUED TO SLOW; AND THE ACFT TURNED APPROX 135 DEGS AND CAME TO REST WITH 1 MAIN GEAR AND THE NOSE GEAR OFF THE RWY SURFACE. THE L ENG WAS SHUT DOWN USING THE EMER PROC; AS IT WAS OVER MUD/GRASS; AND THE ACFT SUBSEQUENTLY SHUT DOWN. NO INJURIES WERE RPTED; AND THE PAX DEPLANED INTO A VAN. BOTH MAIN TIRES (ONE ON EACH MAIN GEAR) WERE FLAT; AND I DID OBSERVE A THIN LAYER OF ICE ON THE UNGROOVED SECTION OF RWY ON WHICH THE ACFT CAME TO REST. SUPPLEMENTAL INFO FROM ACN 428764: I WAS PF ON MY SECOND DAY; FIRST LEG OF IOE. I USED RUDDER TO MAINTAIN RWY CTRLINE. AS THE ACFT DECELERATED BELOW 70 KIAS; I WAS NOT ABLE TO MAINTAIN DIRECTIONAL CTL VIA RUDDER PEDALS (USE OF THE RUDDER). R MAIN TIRE WAS STILL ON RWY PAVEMENT. WE SECURED L ENG VIA FEATHER LEVER. THE R ENG WAS SECURED VIA NORMAL SHUTDOWN PROCS. THE CAPT ASKED THE PAX IF THEY WERE OK. (I DID NOT HEAR THEIR RESPONSES BECAUSE I STILL HAD MY HEADSET ON AND THE NOISE FROM RADIO COMS.) WHEN I DISEMBARKED THE ACFT AND STEPPED ONTO RWY EDGE; I NOTICED IT WAS VERY SLICK (ICE) -- ESPECIALLY ON THE WHITE PAINT OF THE RWY EDGE MARKING. WE POSTFLTED ACFT; PROCEEDED IN TO TERMINAL AND THE CAPT CONTACTED COMPANY.