They got married at a Justice of the Peace, which isn't surprising since they hate both of their families. Maybe they're recalling the past because Miguel and Shelly break some devastating news, which makes them worry about their own relationship.
Jack: No. You don't do that to your family. You find your soul mate, you get married, you stay together until you die. Period. Rebecca: It's not always that simple. Jack: It is to me. Rebecca: Not everyone's you.