Plastic Door Trim Collects water after any rain

[Alerodriver17]

So after any rain or even a car wash, as soon as I open my drivers door,(gls coupe) I can clearly see water has collected not only inside the car on the plastic trim at the bottom where the edge of the carpet meets the door, but outside by the little black plastic piece on the door sill. Solution for this? I must add that the little trim inside the car where the carpet meets the door is cracked and missing a clip but that wouldn't cause this would it?