The starting design for the season is determined by your Chief Designer (CD). Assuming you are Elite tier, to get maximum design points you need three CDs, you need to rotate them and they all have to be 5 star. However, this is very expensive and you will still get a perfectly adequate start of season design with a single 5 star CD, this will give you a base design (without supplier bonus) of 330 points. You will have 50 in CD strength, 22 in CD weakness and 43 in the remaining 6.
Of course the strength and weakness of the CD will also affect the competitiveness of the car. You do not want a CD weak in one of the "big four".
Try reading this....
Joey's Advanced Guide