What was found
AFTER TAKEOFF, CLIMBING THROUGH 10,000 FT, NOTICED A "FUEL 2 LO PRESS" LIGHT. COMPLETED ASSOCIATED CHECKLIST & LIGHT EXTINGUISHED WITH FUEL LEVER IN CROSSFEED. AT THIS TIME, NOTICED AN "ENG 2 FUEL LIGHT". CHECKLIST PROCEDURE IS TO REDUCE POWER UNTIL WARNING IS CANCELED, THAT OCCURED AT 40% N-1. AFTER LANDING, NOTICED RT FUEL GUAGE AT ZERO, ALTHOUGH IT WAS AROUND 2,000 LBS. TROUBLESHOT FUEL SYS, TRANSFER SYS, FUEL PROCESSOR & INDICATING SYS. NO DEFECTS NOTED. OPS/LEAK CHECK FUEL SYS WITH NO DISCREPANCIES. ALL DONE IAW AMM 28-10-00. REPLACED NR 2 ENGINE FUEL FILTER OPS/LEAK CHECK GOOD IAW ENGINE LMM 73-21-02.