They are all very adorable birds! The father is a normal grey split to pearl and lutino. Depending on if he has yellow spots on the back of his head, he would be split to pied as well. The mother is a pearl. And the babies are a lutino on the left and a pearl on the right. Due to genetics, the lutino is a female, but the pearl could be either a male or a female.
Thank you Misstiel. That was very encouraging and informative.
Regarding if the father has yellow spots on the back of his head, the answer is no. It is clear.
I have one more question: are there scientific or common symbols to write the mutations or genes? for example, in pigeons, there are only three colors:
(+) wild color (or blue color)
(B^A) Ash red color
(b) brown color
for patterns, there are six patterns:
(+) wild pattern (or barred pattern)
(c) barless
(C^L) light checker
(C) checker
(C^D) dark checker
(C^T) T-pattern
Is there something similar for cockatiels?