green cheek conure eggs

by mark
(north carolinia)

my green cheeks have laid five eggs a 30 days ago i have not disturbed them other than shining a flash light to peek in on the eggs the past couple days, becoming worried that they may be infertial i opened the nest box and there is only 3 eggs now i held a flashlight over each and dont see any movement but there is a shadow inside should i remove them? is hatching a possiability ? could she lay another clutch