You are correct in the order.Tippets are the last part of the leader.
Leaders must ideally be tapered, so the force transition in the cast may allow your fly to land smoothly. Experienced fly fishermen build their own leaders, mostly with different widths of monofilament. Personally, I prefer furled leaders, tapered and made with 1 or 2 pound mono, knotless. At the end, you simply tie a piece of tippet material.
For some saltwater applications, there are wire leaders, basically used for toothy critters.
Hope this helps.
Nestled together, rows on rows,
With their keen, sharp pointed toes,
Here's a Hare's Ear, there a Glory,
A Royal Coach with a wonderous story.
~ H. Wheeler Perce (Fly Box)