B767 FO DID NOT HAVE 3 TKOFS IN THE PRECEDING 90 DAYS AS REQUIRED BY FARS.

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ON MAR/SAT/03; ACR CREW SCHEDULING CALLED ME IN MY HOTEL ROOM IN ZZZ TO ADVISE ME THAT MY 90 DAY CURRENCY WAS ABOUT TO EXPIRE. I AGREED; AND SCHEDULING SUGGESTED THAT I TAKE A FLT THE FOLLOWING DAY. FLT LAX TO HNL WITH A DEADHEAD RETURN. I ACCEPTED. WHEN SHOWING UP FOR THE FLT; I EXPLAINED TO CAPT (WHOM I HAVE NOT FLOWN WITH BEFORE) THAT I NEEDED THIS LEG; AND WHY. HE WAS VERY RELUCTANT TO GIVE ME THIS LEG. I UNDERSTOOD THAT SCHEDULING HAD NOT NOTIFIED HIM ABOUT THE SIT; BUT LEARNED LATER ON MONDAY THAT HE HAD BEEN INFORMED BY OUR STATION MGR. WHEN ASKING ABOUT THE LNDG; HE REPLIED 'WE'LL SEE; FOR NOW IT'S MY FLT.' BEFORE THE APCH BEGAN; HE STATED 'YOU CAN HAVE THE LNDG.' AFTER THE LNDG; I ENTERED IN ACARS ON FO LNDG CREDIT AND ON CAPT'S FLT RPT. I LOGGED TKOF CREDIT TO CAPT AND LNDG CREDIT TO FO. BELIEVING THAT I HAD FULFILLED MY REQUIREMENTS; I FLEW 3 MORE LEGS WITH DIFFERENT CAPTS. LEG #1 ON MAR/FRI/03; LEG #2 ON MAR/SAT/03; AND LEG #3 ON MAR/MON/03 AS PNF. WHEN ARRIVING IN HNL AFTER FLT ON MONDAY; I HAD A MESSAGE FROM SCHEDULING ASKING ME TO VERIFY MY TKOF ON FLT ON TUESDAY. I CALLED BACK AND EXPLAINED THAT I ONLY DID THE LNDG AND THAT I BELIEVED I WAS CURRENT WITH THAT. UNFORTUNATELY; I NOW REALIZE THAT IS NOT THE CASE.