A CRJ200 CREW MANUALLY LOWER THE LNDG GEAR AFTER IT FAILED TO EXTEND. AN EMER WAS DECLARED FOLLOWED BY A LNDG WITH NO STEERING. CREW WAS FATIGUED AFTER THE EVENT BUT CONTINUED FLYING ASSIGNED TRIP.

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WE WERE ON APCH. FO CALLED FOR GEAR DOWN FLAPS 30 DEGS. UPON SELECTION OF GEAR DOWN WE GOT A NOSE DOOR OPEN AND GEAR DISAGREE WARNING MESSAGE. WE ADVISED APCH WE WERE GOING AROUND FOR A GEAR PROB AND NEED A PLACE TO HOLD TO RUN CHKLIST. DIRECTED TO A BOX PATTERN SE OF ZZZ. QRH WAS COMPLETED FOR NOSE DOOR OPEN. GEAR DISAGREE QRH WAS COMPLETED TO INCLUDE MANUAL EXTENSION OF LNDG GEAR AT WHICH TIME WE GOT 3 GREEN DOWN AND LOCKED LIGHTS. EMER WAS DECLARED. FLT ATTENDANT WAS NOTIFIED; PAX WERE TOLD OF OUR SITUATION. OPS WAS NOTIFIED AND CONFIRMED WITH MAINT CTL AT THIS TIME. AFTER GEAR WAS DOWN AND ALL CHKLISTS COMPLETED; RETURNED TO AND LANDED AT ZZZ. AFTER LNDG; ON ROLLOUT STEERING INOP CAUTION MESSAGE CAME ON. ROLLED OFF RWY ON TO A HIGH SPD TXWY AND STOPPED ACFT THERE. COMPLIED WITH QRH FOR STEERING INOP; WHICH DID NOT CLR. CALLED ZZZ OPS TO BE TOWED TO GATE. CALLED MAINT CTL AGAIN AND MADE LOGBOOK ENTRY. ALSO NOTIFIED CHIEF PLT'S OFFICE OF EVENT. I WOULD LIKE TO ADD THAT THIS WAS LEG 3 OF 4; AND THAT WE WERE ADVISED TO COMPLETE OUR FLT NEXT FLT. ENRTE AT CRUISE I TOLD THE FO THAT I FELT DRAINED; EXHAUSTED AND NOT QUITE WITH THE PROGRAM. (TO BE RESPONSIBLE FOR MY CREW AND PAX.) SEEMS WE SHOULD HAVE BEEN DONE IN ZZZ AFTER OUR EMER.