My company would like to purchase several copyrights. What restrictions are there?

"My company would like to purchase the copyrights of several songs you have listed. Are there any restrictions with what we may do with a song? i.e., can it be resold? can it be performed on the radio? or in public?"

Copyright assignment purchase would grant you complete ownership of the songs, allowing you to do with them as you wish. You would also be eligible for all future royalties that the songs might produce. So yes, public broadcasts, radio, television, theatre, etc would all be permissible, as you would become the owner of the works.