When Laurie brings Ellie the gift, a white hat can be clearly seen sitting on the sofa next to her. However, Ellie has not even opened the gift yet. When Laurie leaves the room, the hat is then gone. That is, until Ellie finally opens the gift and tries the hat on.
When Jules is with Laurie at the coffee shop, Grayson calls and to cover it up Jules says it's the cemetery about moving her dad's casket. Her father would later appear on the show. Even if she was lying about the casket, her and Laurie are best friends, she would know that her father is alive.