Without seeing the rest of your house I wouldn't paint the garage door white, I'd paint it the "steely gray", so that it doesn't stand out so much, assuming it projects out in front of your house.

For the front door, since it's recessed (assuming), I would paint it a lighter color such as Behring "Mermaid net".... something like that would look good with your colors.

Can you post a picture that includes the garage door and a more close up picture of your door?

I would paint the garage door a darker gray and the front door a rich red or royal blue.