Tick anything you already have, in any order. Quests unlock once this is done.
A popcorn maker or a heavy pan roasts a first batch perfectly well. Cooling fast is what stops the roast running on, so a colander and a fan matter more than a roaster.
2 things left above. Quests are real things you go and do, so they only make sense once you have what you need.
First one waiting: Roast your first batch of green beans