Corrected entry: Les and the other people taking their exams are shown in DMV-provided cars, with the DMV logo on them. Examinees, now as 20 years ago when the film was set, have to provide their own cars for the exam - the DMV does not (and did not) provide them. Also, the car Les uses for his exam is a stick shift car. If the DMV did provide cars for the exam (which, as stated above, they do not) they never would provide stick shift cars, which not all of the population can drive.
Corrected entry: Les' twin sister's name changes throughout the film, in some scenes she is Natalie and in others, she is Natasha.
Correction: Her boyfriend Karl calls her Natasha most likely because Natalie is an "oppressive" American name. It may also be the equivalent of Natalie in whatever ethnic background he is from. Either way, it is deliberate. When Karl comes to pick her up, he calls her Natasha while her mom calls her Natalie in the same scene.
Correction: This was a joint program between the DMV and the school, which was available in the 80's, similar to a Driver's Education course. Les was obtaining his Learner's Permit, not his actual license (6 months with permit before getting a license), and the DMV "DID" provide "Student Driver" cars for these courses, including 5-speed manual.
Jazetopher