My cochin did the same thing, took about two weeks, and she had been laying for about a month. At first, she would lay indiscriminately-on the ground, in the coop, where ever looked good. Then it's like she discovered that what was coming out of her wasn't a big poop, and needed to be "checked out". She pecked the ends of her eggs (same as you, the membrane didn't break, so we ate them anyway), but with her, it was just a matter of time. She didn't ever eat them and I do give them crushed shells for calcium, but now she doesn't peck at them. She also just lays in her box (hallelujia!) I think it's part of the learning curve of being a chicken.
