Agree with others, sounds like she hasn't figured out herd dynamics quite yet, that and she is still only 2. When a new horse is put in with a new herd, it's normal for there to be some level of fighting and learning the pecking order. Unless the injuries are serious (long term or require emerg. vet care) then I don't see why you wouldn't just let them sort it out.
You don't want her to become "socially awkward" so to speak. I have a mare that I bought at 4 (9 now), she had never been out with other horses except her own mother. She had zero idea how to behave around other horses, whether it was in the field or if another horse was in the arena with her - she simply didn't have a clue. She's much better now, 5 years later, however it took a lot of time and effort. She's not mean toward others in the field, just very very submissive now. Under saddle she behaves almost as if she is nervous of others in the arena, she doesn't have a mean bone in her body unless she is undersaddle and another horse gets "too close", then she will kick. Never on the ground or in the field, though. She is 10x better than when I first got her, but still has her moments. Basically anyone who sees her in person will agree that she acts as if she's a socially awkward teenage girl, and has zero friends. If she's put out with a horse that's a little too "alpha" she gets beat up (actually to the point of having to get vet out, had it happen a few times). There's a few horses she is fine with, so for the most part she only goes out with those few.
If I had had any say in the way she was brought up until I bought her, she would have been put out with others right from the beginning. She would have done groundwork in the arena with other horses being ridden at the same time. I NEVER would have left her without at least 1 buddy in the field. To this day she is noticeably different around other horses than a "normal" horse would act. She is an amazing mare, just raised completely wrong, unfortunately.