Think my baby rabbit has a broken leg?!

I went to lock my rabbits in the hutch for the night as they have a 6x8ft run, I heard screaming and found a rat trying to take one of my 3 week old baby rabbits away, I checked the rabbit over and couldn’t see no injuries apart from a tiny little cut on its ear but this morning I have now notice his back right leg is hanging out the side and he’s a alot quieter than normally still toileting but can’t tell if eating as he’s still on his mum, really worried about his leg as can’t afford a vet at the moment, is their anything else I can do?

not sure about the bunny's leg. but definitely get some rat traps.
had some mice eating my melons this summer, caught 2 of them. used carrots, peaches and apples as bait.

Yeah I have I’ve had to keep all the rabbits locked in their hutch, which they aren’t very happy about, so they don’t go near them. I didn’t even know o had a rat in the garden let alone that they attacked rabbits.