There are two types of barn lime. Ag lime or dolomite can be used to "sweeten" the chicken coop and area with no harm to the birds. Hydrated lime "burn lime" is caustic and should be kept away from Livestock including chickens.
No.
No
It is hurt
On the contrary, chickens will eat the slugs! Chickens LOVE slugs. Unless you have monster sized slugs the size of chickens, don't worry about it.
Lime, in the form of calcium carbonate or as oyster shells, is very helpful to chickens. For generations, poultry growers added oyster shells to the chicken's daily diet as a way to prevent soft shelled eggs.
No because it can flap its wings to break the fall.
Don't be nice to them but i will because i love my chickens?
While they favor grains, tomatoes, watermelon and cucumbers, broccoli will not hurt them.
NO. Zucchini and all of the squash family of vegetables are very good for chickens. Free range hens will clean a garden completely out in the fall when the harvest is done.
Make sure its cold, and a little lime never hurt.
No. They will eat any remaining fruit and leave the rest. It is nutritious and entertaining for them.
You MUST have a goat of the opposite sex in there as well or it might get a little lonely and decide to get silly...