Is the nose actually cut or is it porphyrin discharge? Porphyrins will cause what looks like a bloody nose or blood around the eyes when a rat is stressed or coming down with an RI. It might be worth trying to foster a couple of the babies as long as you don't overwhelm the other mother as well.
As a side note... Sunflower seeds are also very fatty and more of a treat so be careful about how much you give them. A bit of chicken liver or cooked egg might be a better kick for protein.
It's been ages since I've looked up diets for rats, but I'd be careful about packing on dog food for extra protein. Sure a few kibbles to supplement is fine... But especially good to try offering things like fresh fruits/veggies/Cheerios cereal as supplements and enrichment treats too. Hand feeding some of those will help work towards keeping them a bit more friendly too. Too much protein can cause kidney and skin issues in rats as well, so if not just a porphyrin discharge, that could be a cause for the nose.