Jay3 a bigger pair ran rough shod over that next box and were and did claim it for themselves . Pictures maybe ? The male of the other pair would have killed them , I know this for sure . I took a bad fall 2 weeks ago and haven't been out as often , fractured some vertebrae . The wounds look like they can be treated topically .
I can tell you that I wouldn't have that male in my loft. He'd be gone fast. You should remove them from that box and separate him from the other birds for a couple of weeks. Put the female back where she belongs. Leave him in a cage in the house if you have to. Where he can't see or hear the other birds. After a couple of weeks try returning him to the loft. If he is still a bully, try again with separating him. You can't let him do that, or he will do it again. Many cocks will try to take over as many boxes as they can. When they are removed for a while and then returned, now they are "the new guy on the block". They aren't numero uno any more. It often works. If you let him be, he will hurt others, and take other boxes.
I'm sorry you fell and hurt yourself. I hope you are feeling better soon.
The parents will probably continue to feed them. Like I said, get the other bird out of there. Let them have their box back, if they will still use it. The parents are more likely to continue to care for the babies if they are back where they were. If they won't continue to care for them, then you can bring the babies inside in a cage. But leave the parents in the loft. No point in bringing them in if they aren't feeding anyway. Do you have bird formula? Or can you get it?
Actually, at two weeks, you can hand feed frozen peas and corn, that you have defrosted and warmed under warm running water.