At the beginning of the feature, Pooh's door is seen from the outside opening on a hinge on the right side, while in the Tigger scene, the hinge is also on the right side (which means it has changed sides)
As soon as Christopher Robin and Pooh's friends arrive at Rabbit's front door to pull Pooh out, Christopher Robin drops his drum sticks on the ground so he could grab Pooh. In the next shot, the sticks are gone.
Roo and Gopher pull Eeyore's tail off in the process of trying to pull Pooh out of Rabbit's front door. However, when Eeyore is seen at the honey tree immediately following Pooh's extrication (and subsequently getting stuck again in the honey tree), his tail is back on.