Try bio-oil or palmer's cocoa butter scar fader before using anything with bleach in, as it can damage your skin.

I try to avoid using peroxide based products like the cream you mentioned on my face as I found that they don't agree with me. Especially acne solutions often produce quite prominent raised white scars on my skin. I used NoScar by Pro-Medic on my acne scars. It's really good, if your scars are fresh it gets rid of them almost completely and you can use it before your scars have formed to prevent them alltogether. You can get it online or from a dermatologist. I got mine at www.beautyisskindeep.com.