Hi Glock--Were they installed June 6 or May 6? Whether you have had them 4-5 days or 4-5 weeks will make a huge difference.
For a photo of what the eggs look like, scroll about halfway down the page on this link:http://www.countryrubes.com/images/Honey_Bee_Life_Cycle_in_Pictures.pdf
I have heard it said that you need to wait at least a week or 2 before getting nervous about a new queen laying. So, please let us know FOR SURE which date you installed.