You can give rabbits baths, you just have to be very careful not to shock them or have the water too high. We always gave our show rabbits baths before packing them up
I'd guess they're meatie mixes and not a pure of any breed, especially if they were just for meat. Could have Fleishman giant in the background. I think the little one is likely 6-8 weeks, but without knowing breeds, the size could be throwing me off.