My daughter at 5 months old...
Congratulations on your very cute baby.
The flash light is not diffuse enough in some pictures.
The catch light is not a problem in itself: it adds sparkle to the eyes. But avoid multiple catch lights.
A 35 mm lens is not ideal for this kind of images. You have to be too close from your subject with the framing you use and perspective become distracting. It's best to be a little too far than a little too close.