What was found
IN-FLIGHT, WE HAD A GRD PROX SYS MSG. WE RAN THE QRH & THE MSG WENT AWAY. WHILE ON APPROACH, WE RECEIVED EGPWS PULL-UP WARNING ON APPROACH TO HHN, WE WENT AROUND AND RECEIVED A SECOND EGPWS MSG ON THE GO-AROUND. LOW VISIBILITY, SO A/C DIVERTED TO LEJ, GOT THE SAME INDICATION ON LANDING IN LEJ.(<P>NO MSG OR FAULTS ON ARRIVAL. PERFORMED GPWS OPS TEST IAW AMM 34-46-00, TEST PASSED. AURAL AND VISUAL INDICATIONS CHECKED OK. EGPWC OPS SOFTWARE AND TERRAIN DATABASE CHECKED UPDATED, OK FOR SVC. WHEN AIRCRAFT ARRIVED IN HHN,FOLLOWING LEG, NO GPWS FALSE INDCATION OCCURED.</P>)