There is a mirror when the car is on the tow-trailer during the car chase (in which we see the goof #1 - a man in a hat), but there is no mirror at the end of the chase during Detochkin's dialogue with a policeman
In the chase sequence, motorcycle model changes from overhead valve (identified by cylinder head shape) in the initial scene, to flathead in the tow start scene. Yet, the motorcycle parked at the gas station has overhead valves, becoming flathead again when the cop takes off after the main character, remaining thus for the rest of the chase sequence (with a possible exception of the children camp scene).
Tow cable is visible in the car chase scene when the stolen car backs out of the ditch. You can see the car is towed (not pulling by itself) by the way the rear wheels are aligned with the rest of the car.
A man wearing something like a jacket with a hood becomes visible in the ditch back-out scene. You can see a triangular hood moving up and right from the opposite ditch toward the car's back while the car is towed out.