Pentax KR supports autofocus, and the lens needs to also support autofocus. As for zoom, it’s not supported by the body, but a property of the lens.
If it is equipped with a manual zoom lens, it will definitely not be able to focus automatically and can only be focused manually.
When buying a camera, it is recommended to find a friend who has played SLR together. The easiest way to check whether the lens supports it is to look at the name of the lens on the packaging box. If it starts with FA or DA, it will definitely be able to autofocus on KR. Be careful and test frequently to avoid losing focus.