Full solution
1, 2, 3
4
5
Rule 3: The car is able to turn 45 degrees or 90 degrees sideways.
6, 7
Rule 4: The car cannot turn at an angle that is greater than 90 degrees.
8, 9
10
11, 12
Rule 7: Multiple cars cannot be on the same square at the same time, but can on different frames. (collision)
13
There are 43 flags for 3 cars, so the optimal solution must have at least 15 frames. A solution in 15 frames is possible:
Note the two cars on the top don't cross their intersection on the same frame, such that no collision happens.
14
Level 14 is once again hidden in the title. As pointed out by @ibanezplyr in the comments, this one needs to be solved using both physics from this puzzle and the previous one! Here's a solution in 8284 frames.