You won't make any money selling eggs for eating if you have to pay for shipping and all the packaging. I used to work in shipping, and the costs are high, going higher. Big companies can afford to take a loss on some items because they make a lot on other items. You won't have that luxury.OK. How do you make a profit if shipping is $17? On amazon a dozen eggs sell for $20 including shipping.
If you are shipping out of your state, you must be NPIP certified. I believe that applies to eggs for any purpose, eating or hatching, but I'm not sure, so you'll have to look up the regulations. If you have to be certified, but aren't, and are caught, there can be serious consequences.
If you want to sell eggs, look into selling locally, with customers picking them up. Perhaps offer delivery for an additional fee.