Are the babies safe to hatch in this environment? I heard older chickens will sometimes kill chicks.
Sometimes people have a fender bender on the way to the store. Sometimes a piece of space junk falls out of the sky and hits a house. Sometimes it rains. Just because something sometimes happens doesn’t mean they happen all the time to everyone. Hens have been hatching chicks and raising them with the flock since there have been chickens. You are dealing with living animals so anything can happen, you don’t get guarantees with living animals.
I regularly let my hens hatch with the flock and raise their chicks with the flock. I’ve never had another adult kill a chick. I’ve never had a mature rooster harm a chick, I have had mature roosters help Mama take care of her chicks. They are living animals, I’m sure others have had a mature rooster harm chicks, I’ve just never seen it.
Sometimes the other hens can be a threat. I’ve never had a broody hen not defend her chicks when she can get to them. Some people have. Most of the time my other hens ignore the chicks or, if a chick invades their private space, they peck it to send it running back to Mama unharmed but maybe a bit wiser. Occasionally a hen will get more aggressive, that’s when Mama kicks butt. To me, the biggest risk to a chick is when the chick gets separated form Mama, say on the other side of a fence, so Mama cannot get to it to protect it. If you do try to isolate the broody hen and her chicks, make very sure there are no holes the chicks can get through and interact with the rest of the flock while Mama helplessly watches.
Mama should very easily intimidate and keep those 4 month olds away from her chicks as long as she can get to her chick to protect it. I consider those juveniles to be more of a threat to baby chicks than your adult hens or rooster but right now I have adults, 16 week olds, 8 week olds, and a broody hen with two week old chicks roaming together without incident to the chicks. The adult rooster is starting to have to put the 16 week old cockerels in their place, so there are incidents between them, but they work those out.
It sounds like you have an environment pretty good for a hen raising chicks with the flock. You have a lot of room, which is important. You have a mature rooster which I find normally helps. If you are looking for guarantees that the chicks are in absolutely no danger, you will not get them from me. They are also in danger if you try to isolate them, especially when you integrate the hen and the chicks later. To me the hen handling integration and the chicks growing up as part of the flock outweigh any risks of a broody hen raising chicks with the flock. Others will have a different opinion.
At that age you should be able to tele the sexes apart. The cockerels will have brighter red and better developed combs and especially wattles, their legs should be longer and especially heavier, they should have a more upright posture and a male body shape, and their saddle and hackle feathers should be growing in sharp instead of rounded like the females. If you can take close-ups of certain chickens you are unsure of showing the head so we can see combs and wattles, and profile shots showing posture and legs, maybe even saddle and hackle feathers, we should be able to help you sex them at that age.