How to get on the Ladder?

I'm new to events and racing, and I'll never tear it up, but I have 5 pts, but I don't appear on the ladder. Do you actually have to finish a season before you start showing up there?

In your profile you can see your season points/ranking. You're currently at position 5820.

I was looking at the Season Ladder in the Events tab. 5820 is someone else on that list.

Quick cursory glance suggests that if you have the same number of points, you'll share that rank. So while you might not show up at 5820, you have the same number of points as the 5820th person, and are thus considered 5820. As for exact position, I can't help you there.