If the tip of the beak (where it's narrow) is cracked, it will not heal, but it will eventually grow out and you shouldn't worry. You can't "heal" keratin, it's similar to cracking a nail. You can cut the tip off but you can't repair it.
If the part of the beak (that's close to the cere,) is cracked, this is more serious, but you shouldn't really worry, since you said it's just a very small crack.
However, if you're talking about natural flaking, like this picture:http://i13.photobucket.com/albums/a277/w...
That is completely normal
Hope this helps in some way. You're a good owner, just be more careful next time... :)