“Campus ‘police’ aren’t really police are they?”
No, they’re often real cops. They usually, these days, graduate from police training courses, carry real firearms, etc.
http://blogs.findlaw.com/blotter/2012/10/are-campus-police-the-same-as-real-police.html
http://boingboing.net/2015/09/17/campus-cops-all-the-powers-of.html
Yes. If they have powers of arrest, they are cops, as far as I know.