Adding the CheckSum (MD5, SHA-1, ...) to the File Context Me

That tool isn't part of Opus, so to get it on the other machines you'd just need to install whatever it is on them.

If you want the command to make Opus calculate checksums, it's GetSizes MD5 or GetSizes SHA, which can be put into the context menu via Settings > File Types. Those will display the checksums as columns.

Alternatively, you can make Opus show the checksums in a dialog box, similar to the tool in your screenshot, (and compare it to a checksum in the clipboard too) by using the 'HashCompare' Script Command Steje posted to the forum. That could also be put on the context menu, or run via a toolbar button or hotkey, as desired.