Should I give more work out to a student who is not behaving?
Why can you not call the administration? If it's a private school, are they not able to remove students from classes?

If the student is just not paying attention, I'd say you just let him be. It's college. It's his (parents') money. Let it go to waste. Teach the students who are there to learn. Your job as a college professor is not to wipe runny noses of students who do not want to be there. When we focus too much on the students who do not want to participate, we usually end up neglecting the students who do want to be there. 

If the student is being disruptive, document and report. What is the administration there for if not to handle such administrative issues?