Parenting plans are a required part of custody planning that the courts ask for. The judge wants to know that it's clear where a child will be at any time and that any contingencies have been discussed. It's important that you and you ex-spouse work together to create a plan that works with your schedules and the needs of your child.
You believe you have a right to child support, and you're looking into your legal options. That's good. You must keep the child's best interests in mind at all times, and having proper financial compensation to provide for the child is incredibly beneficial.