The anime is about a male main character who has red eyes. He wears contacts most of the time to cover the eyes. It might have something to do with supernatural stuff. I know his mother tried to murder him. Also there was a detective involved with him. He forgave his mother after finding out the reason. I think his mother was raped by her kidnapper who had red eyes and that is why the main character has red eyes. There is also a girl that fits into this story well.
I know this might not be helpful but I remember some things vaguely: (These may or may not have happened)
Something about cars going very fast under a bridge.
A swingset scene with the detective, main character, and/or the main character and bullies.
Something on the rooftop in the building and kidnappings.