Google your state's Weights and Measures with your department of agriculture. They are probably the people who set the rules.
In Missouri, you can sell from your property and you can deliver, you just can't sell at an established place of business, so not at the farmer's market, without a license....Unless....
You sell more than 30 dozen a week, then you must have a license. To get that an inspector comes to your house, asks to see your eggs, checks the temperature of your fridge, checks a couple of dozen to make sure they pass the clean egg rules and is supposed to crack a few to grade them. They are also supposed to check your scales to make sure they are accurate and to certify them.
So, check your laws, most likely you are OK as long as you are not selling a whole lot of eggs or selling them at a place of business. Selling to your co-workers is delivering to your customers.