Sorry I didn't notice this sooner.
A blue chicken is genetically black, then diluted to blue.
Black is dominant over most other colors. With that rooster, depending on the hens, you could get: black, blue, splash, black with white bars, or black diluted to white (only certain hens could cause this, and you may not have any of them.)
The chick with a yellow spot on its head in the picture is probably barred and a cockerel (because a barred hen can only pass the gene to her sons, not her daughters.)
If you're wanting to get chicks of lots of different colors, I suggest you get a rooster that's some shade of red or gold, with black markings. (Any breed.) That coloring is caused mostly by recessive genes, so you will get different colors of chicks depending on which hens you have.
Or get a sexlink rooster because they are already hybrids, so they carry a larger variety of color genes. A "red" or "gold" sexlink male looks white, but has the genetics to produce both silver chicks and gold chicks. A black sexlink rooster is black with barring, but also has genes for not-black and not-barred.