Each performing-rights organisation represents different songwriters, so a licence with one does not cover another's songs. Mark each one needed, not needed (and why), or still to decide.
Licensing bodies write and call for months before they sue - BMI said it contacted one Illinois club owner more than 45 times. Write every contact down the day it comes. Each one gets an answer by its date, or is filed with a reason. A certified letter, a cease and desist or lawsuit papers can never be filed without an answer.