I'm not sure about the bloody nose . . . is it still bleeding?

The only suggestion I have for the fighting is to make sure that you keep Ellie's nails trimmed short! Both of my cats have their claws and they just play fight but if I let their claws get razor sharp, they can definitely do some damage to each other! (they're rough!) I try to keep them trimmed as short as possible - just don't clip the pink part. If you keep them clipped, they will stay short & dull and shouldn't hurt the declawed cat.