About eggs being kept out of the refrigerator:
In Israel, the trays of eggs are generally not refrigerated. At home I refrigerate them if I have room. Pesach I do refrigerate them.
Why?
In the US the eggs we would buy in the store have been rinsed. Rinsing removes a natural coating on the eggs. Eggs without the natural coating need to be refrigerated.
This is usually the answer given to Americans who come to Israel and complain about how the eggs are dirty and it is unsanitary and we should push to require that they be washed. Apparently, in this case, the dirty eggs are *more* sanitary 🙂