As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
BDL - INFLIGHT T1003/10FEB - NOSE LANDING GEAR RED LIGHT ILLUMINATED WITH GEAR HANDLE UP. LOUD WIND NOISE NOTED. LANDING GEAR INDICATION THREE GREENS AND DOOR LIGHT OUT WITH HANDLE DOWN. RETURNED TO BDL AND LANDED WITHOUT INCIDENT. REPLACED NOSE GEAR PROXIMITY SENSOR. SYSTEM GROUND CHECKED NORMAL OPERATION.