No for a few different reasons. Until the pullets mature enough to force their way into the pecking order, usually about the time they start to lay, they will form a sub-flock. Then they will merge into one flock. Then you have an excess rooster. A little patience is in order.
This part is my opinion. How much protection you get from a rooster is generally more myth than reality. There are exceptions, with living animals there are always exceptions, but my roosters are there to only fertilize the eggs. In the predator attacks I've had the rooster has always been unscathed. He may act as an early warning system with a few predators but when one is identified mine lead the flock to safety instead of staying in the rear to protect them or actually attacking the predator. some people will tell you stories of when a rooster did help but in my experience those are fairly rare.
If you get a cockerel the same age as the pullets he is still a boy. Don't expect much from him except his hormones will likely make you think he is harming your pullets. You may have seen that with your first chickens. Adding a cockerel to your flock is likely to disrupt the harmony of the flock a lot more than you want, now and later.
Welcome to the forum, glad you joined.
