The scene when the airplane takes off initially is a Boeing 737, a single aisle aircraft. The actors are sitting in a single aisle aircraft. The next time you see the plane in flight, it is a Boeing 787, a wide body aircraft with twin aisles. Following scenes show the actors in a single aisle aircraft.
In the first apartment scene when Meg and Kate are dancing, Kate takes a sip of beer and her hand is wrapped around the neck of the beer bottle. The very next frame shows her lowering arm after her sip of beer and her hand is now around the base of the beer bottle.
When the hot air balloon lands at the kids party you do not see the deflated envelope of the balloon so as they bailout the basket would go back up into the air.
Ryan's character is stated to be a firefighter, but it is a fairly well known fact that the majority of fire departments do not allow firefighters to have beards (as Ryan does in the film).