This pullet and cockerels are 30 weeks old and 29 weeks old.
Look at the cockerels' legs. Notice how many spurs they have on each leg and how long and sharp those spurs are. Then look at their talons. Notice how many there are and how long and sharp they are. Think about what they are standing on when they are mating the pullets. I think it will be pretty clear as to what causes the problem.
You say your Silkie is the worst or at least pretty bad. To me that reinforces that breed is not nearly as important to behaviors as the personality of the individual bird. Silkies are often spoken of as always so gentle and non-aggressive.
What you describe is somewhat typical cockerel behavior, though more severe than I generally observe. I didn't see you mention how many pullets you have with the three cockerels but to me that's not really important. I raise my pullets and cockerels with the flock, often with twice as many cockerels as pullets. That kind of stuff is hardly ever a problem. But I have a lot of room (think between 50 and 400 square feet per chicken, depending on how many chickens I have at the time) and I generally have a mature rooster and a handful of mature hens in with them. Different circumstances so different results.
Most of the time when cockerels and pullets mature into roosters and hens things calm down a lot. Some never grow up but most do. But getting there can be hard. You obviously have a dangerous situation.
Why do you want those boys? What are your goals in regard to those cockerels? The only reason you need a rooster is if you want fertile eggs. Everything else is personal preference. Nothing wrong with personal preference, that can be a strong motivating force. But it is a want, not a need. I generally recommend you keep as few males as you can and still meet your goals. That's not because you are guaranteed problems with more males, but because problems are more likely. You are experiencing that "more likely" right now. Even when they mature you could still see these problems. What you do should be driven by your goals, not mine or anyone else's.
So what are your options. Since she is wounded I'd immediately remove all three boys, at least until she heals up.
You can house them all separately until they mature more. They are already seven months, mine often calm down by then. But I'd give them at least two more months before I tried mixing them with the girls again. How long to try is purely arbitrary, you don't get guarantees on behaviors. This may never work.
After she heals you can try putting one of them back with the girls. See how it goes. Sometimes the lack of competition can calm things down. Or he may have matured a bit. Keep the others separated.
You can keep them forever in a separate bachelor flock, either all three or two of them. That often works, never let them near the girls again.
You can permanently remove one, two, or all three from your flock. Sell them, give them away, or eat them. Donate them to a zoo or wildlife rescue to be used as food. It's amazing how calm an all-girls flock can be.
I don't know what the right answer is for you. But I'm afraid you have some tough decisions coming up. Good luck!