I've installed a few headsets myself with no issues. Currently, I am putting together a budget bike for a sibling. The frameset came with this headset, which came with no instructions. Below, you'll see the pic of everything minus the cups (already pressed into frame) and a set of bearings.

I cannot figure out which way it's supposed to go on. I thought that washer (on the very far side) was the crown race, but it's just a flat washer so I don't think it is. The part already on the steerer tube holds the bearings (not pictured). The other parts go on the other side. I am guessing I am putting this together right. Let me know if I'm heading in the right direction. Thanks.