After Mitchell puts his award on the mantel (towards the left), Cameron asks how impressed Alex is with Mitch. When it cuts back to Cam and Mitch, the award is on the center of the mantel.
Phil says while on the game show that he has a daughter and his friend Ling will be flying his home made helicopter that day. Season 5 "Message Received" when the Dunphy kids find Phil's old answering machine you hear the messages and on the day Ling is going to fly is the day Claire is going to tell Phil she is pregnant with Haley.