RF have you thought about asking some cousins out to dinner or to some kind of regional county fair or concert or something like that? At first they may wonder why you are doing it but with time you can begin to explain what life is like being a JW, and how your feelings about it is changing.
You can slowly explian to them how JWs are supposed to stay away from worldy people/family and you were sincerely thinking you were doing right by not being more involved with thier lives. Then you can tell them that you have missed being family to them and no longer believe this to be right.
Mending families takes love and patience. Don't be afraid of rejection just go for it. Be honest about your feelings.
Love~Kate