Welcome to the forum from Louisiana, glad you joined.
One reason to neuter cockerels, bull calves, colts, and a lot of other animals is that it changes their behaviors. It allows you to keep more than one male together without them fighting. It removes a lot of aggression.
You do not get guarantees with living animals regarding behaviors. Anything can happen, even a hen can become aggressive. Not all cockerels grow into human aggressive beasts. But neutering your cockerel will make him no more likely than a hen to become human aggressive. Maybe less so when you consider a broody hen can be aggressive when protecting her chicks.
One of your chickens will become flock master. With no rooster in the flock that is the dominant hen. She typically takes over many of the duties of the male flock master. With a capon in your flock that will probably not be him, it will probably be one of the hens.
Probably, I don't know for sure.
Stop the aggression toward the hens?
No fertilized eggs?
These go together. By aggression toward the hens I assume you mean normal mating activity. An intact male will fertilize the eggs, that is nature. Typically once they mature that becomes peaceful but it can bed really rough to watch as they go through puberty.
Stop aggressive acts on wife kids and I?
Caponizing will reduce the possibility even below what those chances normally are.
We are looking to rehome him but understand that is hard.
It is real hard if you don't try. The more restrictions you put on it the harder it is. Most people that will take him would take him to eat. If you will only let him go to a forever home then it can be challenging but some people manage to find those situations.
I don't know where you are which makes it a bit harder to make suggestions. You can start a thread in the Buy-Sell-Trade section of this forum, giving your location in the title. Maybe you can find your state or country thread in the "Where am I? Where are you!" section of this forum and chat with your neighbors. If you are in the USA you can try Craigslist. If somewhere else maybe you have a similar possibility. Chat with people at the feed store. They may know of someone that would take him but they may also let you put a notice on a bulletin board.
Good luck and once again
