Cadet button: Newington College
This button was made by Hammond, Turner & Sons, and is found on their history blog, which is well worth a visit.

Used from https://hammond-turner.com/button-galleries/uniform-buttons/ with kind permission.
See also http://www.austbuttonhistory.com/wp-admin/post.php?post=9728&action=edit
Beutron
This magnificent style only appeared in advertising in 1951. The disks occur in multiple colours, and the centres in silver, gold and pearlised.