I might take a step back and determine if all are needed. There is only one weed that I would consider a weed in my parts. It is bermuda (in a garden setting but not a pasture setting).
In an area without bermuda I would not use the cardboard. No reason for it. In fact, cardboard can have disastrous effects. Every sheet I placed down became a home for fire
ants. I have to really want the bermuda gone to trade off for fire ants.
The compost and woodchips becomes a haven for rollie pollies (pill bugs). My solution is to not let fruit touch the ground (stakes). If it does, the rollie pollies get after them.
It is a situation for my area but worth mentioning.