A ten-week old cockerel should be demonstrating his behavior tendencies by now. By four months of age a cockerel will be beginning to feel some hormones stirring, and he might be starting to attempt to mate the pullets that are getting close to point of lay. At this time, you will get a strong hint of his temperament.
There are options other than leaving the cockerel with the girls all the time. Many of us will take a disruptive roo out of the flock during the day and let him do his own thing outside the run or a separate bachelor pen. This lets him work off energy while sparing the girls his clumsy attentions.
I've had my share of roosters, and all were hormonal jerks except for one, my present head rooster. At age four months, he was beginning to mate the hens, but he was so smooth and low key that he could be mounting a hen right next to me and I wouldn't be aware of it until the hen moved away and shook out her feathers.
I have a second rooster, the offspring of the older roo. At this moment he is strutting around the perimeter of the run while his dad and the flock enjoy peace and harmony inside because he's not like his pop. He's over zealous in his mating technique, and in early spring he badly injured a hen that fought him off when he wanted to mate her. In a little bit, I will go out to let him inside to roost with the flock. It's an arrangement that has worked very well for years of keeping roosters.