It is possible to have multiple roosters (you currently have cockerels), but it does help if you have a LOT of space. You will read about the rooster to hen ratio. Truly, there is no magic number. Some setups work well with breeding pairs or trios, others can have 1 rooster to 20 hens and still have one or two that are overbred and barebacked. I would separate all three of those boys or they will wear your hen to a frazzle once she's off those eggs. To show dominance, they will breed her, one after the other. She will not be able to eat, drink or dustbathe in peace. A bachelor coop would be helpful. If your eggs hatch, you need to be prepared for even more males. That has been addressed above, so I won't go into it.
Do you know how big (in feet by feet) your coop is? Coops that are advertised to hold a certain amount of chickens are often grossly exaggerated. Especially if it's a little prefab coop. Then you run into the trouble of bad habits that happen when chickens are over crowded. They will fight, pick feathers, sometimes end up cannibalizing a wounded one.