What was found
AFTER TAKEOFF, WHEN GEAR WAS SELECTED UP, RECEIVED A MASTER WARNING NOSE DOOR OPEN & GEAR DISAGREEMENT AND MASTER CAUTION WOW. INPUT & STEERING INOPERATIVE. RAN AND FOLLOWED THE QRH, DID NOT MAKE ON OVERWEIGHT LANDING. EMERGENCY DECLARED, RETURNED TO DEPARTURE. ADJUSTED NLG OLEO CENTERED/EXTENDED PROXIMITY SENSOR IAW AMM 32-61-05. OPS CHECKED GOOD, NO FURTHER DEFECTS NOTED. ACFT OK FOR RETURN TO SERVICE.