Typically, a parenting plan will outline visitation beginning with a phrase along the lines of "During the term of this Parenting Plan the non-custodial parent shall have at a minimum the following rights of parenting time." If so, the non-custodial parent is not required to exercise his or her visitation time, but is allowed to do so.
There are two issues surrounding where a case will be filed - jurisdiction and venue. There is a course in law school dedicated almost entirely to these issues (civil procedure), so unfortunately I can't give a comprehensive answer to the question that suits every situation. The general rule is that cases must be filed in the state and county where the person you're filing against lives, but divorce and family law have more exceptions to that rule than probably any other area of law.