A general rule for batch box systems is to keep riser and exhaust sizes the same. A larger exhaust/chimney would probably not hurt, but there is probably no benefit to the larger size.
The door air inlet size is generally a fraction of the system (riser) size. Slots like your drawing shows would allow less airflow than a single equal-sized opening due to edge friction effects.
https://Batchrocket.eu includes dimensions and ratios that may help you.