For the problem with your camera, check the how do I FAQ at the section "Scrolling / Camera", if I remember correctly, you should have an item that will show you how to do such a camera that will follow your character but not "be" your character.
For the second question the answer lies in page 7 of the beginner's guide.
Do another layer and apply parallax parameters to 0.
Also, the link you gave just goes to an export of your game. Next time you want help and it would require to see the sources, prefer to post your capx rather than an export.
I hope all this helps.