When Charlie is dancing in the unclaimed luggage warehouse the floor around him is completely clean with all the luggage to the sides, however then in the shot with all of the kids dancing things are spread all around the floor.
After the fire department extinguishes the car fire at the gas station the car's parking lights are on. It is very unlikely the parking lights would still be working after the car exploded. In the very next scene the car's parking lights are off.
The brother and sister are flying from California to Pennsylvania on AirTran. However the movie is filmed at Salt Lake City airport which AirTran does not serve. Also the father drives from PA to SLC in one day which is impossible.