The vet said both was very healthy looking and there was nothing abnormal to feel on their bodies. She did offer a xray on the big one, but said personally she thought there was no need to stress the bird out to have one done, as there was nothing alarming to feel or see.
Same with the small one, she said it had a small neck injury possibly from when mom injured it by mistake because of the fragile size. However, it is to no bother and pain for the baby, the neck just have a little tilt when Tiny (the baby) is relaxing.