What I would do is:
Make sure I have appropriate live and online broadcast (stream) rights to whatever music I've chosen to use. Contact the copyright holder to obtain. If you plan on recording and distributing your show, well, EVER, make sure you get MECHANCIAL rights as well.
Make sure that anything that is an arrangement, I've got transformative rights as well.
Make sure you have performance permission for everything you plan on using if not public domain.
Finally, have paper copies of every one of these contracts and carry them with you to contest and performance sites.