C210 ON RADAR VECTOR SAME ALT HAD NMAC LTSS FROM C182. SYS ERROR.

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OPERROR OCCURRED ON A FRIDAY. I HAD BEEN RECOVERING FROM BRONCHITIS THE PREVIOUS FEW DAYS. THE PREVIOUS MONDAY AND TUESDAY WERE MY REGULAR DAYS OFF. WEDNESDAY I CALLED IN SICK; HAVING BEEN PRESCRIBED MEDICATION FORBRONCHITIS. THURSDAY I CAME TO WORK AND ADVISED THE SUPVR AT XA00 AM OF MY TAKING SAID PRESCRIPTION. I WAS ADVISED BY THE ASSISTANT MGR OF FACILITY (GSO) THAT I HAD TO NOT TAKE THE LIQUID MEDICATION FOR AT LEAST 24 HRS BEFORE I WORKED ON 'THE BOARDS' AGAIN. ON THIS THURSDAY MY LAST DOSE OF LIQUID MEDICATION WAS AT XB15 AM. I WORKED ON DATA. I CONTINUED TO TAKE THE ANTIBIOTIC TABLETS AS PRESCRIBED; 3 TIMES DAILY. ON FRIDAY I ARRIVED AT WORK. I ADVISED THE SUPVR I HAD FOLLOWED INSTRUCTIONS ABOUT NOT TAKING LIQUID MEDICATION; SO I COULD WORK AS USUAL. ASSIGNED S RADAR POS COMBINED WITH S SATELLITE RADAR AND S ASSOCIATE. ACR DEPARTED IN MY SECTOR; SOON TO BE IN ANOTHER SECTOR. A FLT CHK ACFT WAS VFR AND WANTED AN IFR CLRNC. BTWN THE ACR JET; NO RADIO CONTACT; TRYING TO ASK OTHERS IN THE FACILITY WHO HE WAS TALKING TO; AND THE FLT CHK FULL RTE CLRNC; I HAD TO READ TO MYSELF WHERE HE WAS GOING BECAUSE HIS FLT STRIP WAS INCONCLUSIVE. 2 OTHER ACFT I HAD TO VECTOR TO AVOID OBSTRUCTIONS AND AIRSPACE. MY ATTN WAS LOST WITH 2 ACFT AT 7000 FT. I FEEL THE COMBINATION OF ALL FACTORS; INCLUDING A LOT OF BACKGND NOISE IN THE RADAR ROOM (IE; PEOPLE NOT USING THE OVERRIDE SYS TO COORDINATE; THEY WERE JUST YELLING ACROSS THE ROOM); HAVING BEEN SICK AND STILL NOT 100 PERCENT PHYSICALLY WELL. I HAD NOT WORKED IN THE RADAR ROOM IN 4 DAYS. THERE WERE 3 COLLISION ALERTS ACTIVATED FOR THE C210 AND C182. I ONLY HEARD THE LAST ONE.