I found the wooden or ceramic eggs very helpful. Also filling plastic easter eggs with sand is another technique I tried. In the end, I didn't have to cull but sometimes that is the last resort.
A rollaway nest is a good idea.
First time laying pullets can have thin shells even with layer feed...
While they are a nutritious food and contain good quality animal protein, eggs are not high in protein. They are about 12% which is much lower than any chicken feed.
If adding cat food, check the protein content on the guaranteed analysis. Some cheap canned cat food is lower in protein than...