My E320 starting acting weir while start the car,the engine is make noise after the car started, the noise sound like you are holding the key after the car is start and not release the key, look like something got stuck (since I already release the key after start)

This happend mostly when I drive drive the car for a while and when I shut off the engine and restart right away, the car make noise and won't be able to start some time or it's just like the symptom I discuss able.

Other time, the car start fine for many days, so can some advise what is the issue it?, sound like starter but I am not sure

Thanks