I'm sorry to hear about your injured fish, fish fighting in a community tank is always heart breaking. I have an interesting story about my fish picking at each other, which later I just resolved with separating the fish.
I was putting some new fish in, a Gold Twinbar Platy and a striped Dwarf Gaurami. There were already three Tequila Sunrise Guppies in the tank. As soon as I dropped the new fish in there, the guppies instantly fell in love with the platy. And from then on you would always, I mean always see the guppies schooling with the Platy. The platy didn't really seem to mind either, it was the most interesting friendship in the tank besides the mollies. But one day all of that changed, I'm pretty sure it was high ammonia levels that triggered it, but for a few days I noticed every time the guppies attempted to swim with the platy, the platy would go nuts and chase them away. I took the platy out and placed him in a time out tank for about a good hour to disorient him. When I placed him back, the guppies swarmed him like they missed him, and platy kept his cool for a short time but ended up chasing them away again. It wasn't until later I realized the platy was trying to defend himself, as the guppies were picking at his fins. This kept happening over and over again, the guppies would keep their distance sometimes, but one at a time they would try to sneak up on him. THEN, one day came where they were having their usual fit, and our dwarf gaurami comes out of nowhere and totally recks the platy. I'm talking about ripping scales off and totally ruining his side fins. We talked to PetSmart and they told us the gaurami probably just saw the guppies picking on platy, so social pressure to fit in took over. The poor guy was still alive but swimming side ways and just looked like he was one his last fin (pun intended). I took him out and placed him back in the time out tank so he could die in peace, or at least away from all the jerks in the community. I left him in there for about four or five days and he was still alive! So I wanted to put him back in the community, and when the guppies began their usual bullying, I took them out and placed them in the crab tank as punishment for harassing a peaceful fish, where surprisingly, they're still in there and doing very well. Plus, they look very beautiful under the pink LED light. But after platy returned home he lived, he swam a little funny still, but he was recovering just fine... Until a major fungus break out happened and wiped out many fish including him... :c