I'm going to be flying to a family reunion this Sunday, and I'd like to bring a few dozen eggs on the plane (carry-on). They'll be fresh eggs, and some my chickens lay pretty thin shelled eggs. I'll have the eggs in egg cartons. Am I likely to have any trouble with air pressure? I've had ink pens leak in my pocket in past flights, so I know that the pressure in the passenger cabin isn't always the same as at ground level.