All cars disappear after a fast race on a bonus car (Need for Speed: Most Wanted (2005))

In short, this is not the first time I have encountered a long-standing problem. And it consists in the complete disappearance of all cars, after I pass at least one of any track in the fast race mode using some kind of bonus car. For example, I choose at least the same BMW M3 from the list of bonus cars, let's go for a sprint, after the end I go back, choose any track and as soon as it comes to choosing a car, an inscription appears on the screen about the absence of all transport. Therefore, the question is: What is it connected with and how to fix it? Because, I have already asked this question in foreign forums, but no one knows what this problem may be related to.

Game version 1.3 once borrowed from a friend, probably in 2008. Below is a screenshot of that very bug: