The picture is "not available" as I am looking at your post but it sounds like you may have gotten a virgin queen. The colony might be making a queen cell (the ball of wax you describe) to supercede her but they need some of her eggs to make a new queen... You will need to look again very closely to see if there are any eggs or young larvae in those first four frames. That is plenty of space and time that the queen should have laid quite a pattern by now. Look again very closely. Eggs can be very hard to see--especially if you are using wax or white plastic foundation. If you have black plastic foundation they are far easier to see.
If you can not find any eggs, you need to get a new queen fast. It sounds like you started with a package and their numbers are going to start dwindling pretty rapidly due to their natural life span at this time of year. Ideally you should get some frames of brood and bees from another colony to supplement yours. With that option you could let them raise a queen but it will be 3 weeks or more until she emerges, mates, and starts to lay.
Sorry for the dire predictions... Maybe someone else has a better suggestion for how you can procede.