Thanks but still not got the answer

It is very strange, because every time I try to start the car the symptom is different, when I put the new battery turn the key on,I can see the check engine light and the other light on the dash sreen, after couple of hour, when I try ot turn the key again, there is only the door open sign light on, on other light and nothing happen the starter. like the battery on power, what's wrong with the car?