The bow and arrow is on a different rock to which it was on originally, when Ivan goes and picks it up.
The position of the ropes tied around Nastenka change between a couple of shots.
In the beginning, when Nastyenka pleases the sun to wait till she finishes the socks, the sun rises from the right side (west). Russia is situated on Northern hemisphere, so it's clear that the scene was actually shot during twilight and the sunrise is actually dusk played backwards.
You can see a wire briefly visible on the feather which Ivan throws.
In the last moments of the shot of the troika, the cameraman's shadow is quite obviously visible in the snow.