What was found
DURING CLIMB, THE AIRCRAFT DID NOT SHIFT INTO FLIGHT MODE. UTILIZED OVERRIDE BUTTON TO RETRACT LANDING GEAR. AFTER LANDING GEAR RETRACTION, THE NOSE GEAR DOORS DID NOT CLOSE AND THE NOSE LANDING GEAR UNSAFE LIGHT ILLUMINATED. AIRCRAFT RETURNED TO DTW AND LANDED WITHOUT INCIDENT. SERVICED STRUT ON NOSE LANDING GEAR AND OPERATIONAL CHECK GOOD.