I have a 2002 Subaru outback I just bought a new battery and still won't start

What is your question?

I bought a new battery and the dashboard lights came on works fine but when I went to start it up after work it started but down the street it stopped and dashboard lights went out and the key wouldn't come out what else can it be??? No noises or any kind or leaks

What makes this problem better or worse?

The cold weather

How long has your 2002 Subaru Outback had this problem?

3 to 4 days