Truck stays running when finally turns off lights flicker
 

03 dodge ram 3500 4x4 just started this issue this morning when got to work.
Turned off key truck stayed running, pulled key out truck stayed running. Turned off about 30 seconds to a minute after being in off position. When it finally turned off headlights and clearance lights flicker on and off. Truck starts fine and everything works fine when it's running. Really need some advice here. Thnx for ur time guys

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I know my passenger side battery is weak cause I gotta fill it with water every week. I put on 350 kilometres a day and only drains when I run all 10 driving lights. I heard something about the fuel shut off solenoid causing this ...... But I'm leaning towards ignition...... Really unsure. Also disconnected all driving lights to ensure they were not the cause