I second the opinion that the frost free stuff is kaput. Most freezers use heaters to melt the ice, it is likely that the relay or solder joint on it is bad.

Every time you open the door, all the heavy cold air runs out the bottom and hot humid air rushes in. The freezer will load up on water because of this. The same thing happens if the door seals aren't perfect, as the freezer cycles thru its cool / off / cool cycle, the inside changes pressure and will expel inside air and intake outside air.

That hole in the door for the ice cubes is a prime suspect.

All of which you'd never notice if the defrost stuff is doing its stuff.