Repairing and Replacing Jalousie Window Rivets

My in-laws have Jalousie windows throughout their house. One of the "rivets" holding one of the louvers in place has lost its head and I'm trying to figure out (from a thousand miles away) how to repair it when I visit them. They are pretty elderly and getting detailed information from them will be interesting so I'm trying to cover all my bases in advance.

What are my best options for repairing this and what sorts of tools and parts will I need? And what information do I need to attempt to get them to take before I get there?

Picture of the damage attached.

Thanks in advance.

Dave - Thanks for the help. Without your guidance this would have been an impossible task given the resource constraints. What started out as 3 replacements turned into more than a dozen. Fortunately, it went smoothly and quickly.

Thanks again. A picture of the results:

Thanks SO much for this thread! I was researching a part for my neighbor's jalousie, and when I found this thread, I had an AHA! moment to repair my own. The brackets for the bottom pane had two broken rivets, so it dragged.

Well, I just fixed it, thanks to you all!

The tips I'll add are:

When I started to drill out the first rivet, the drill bit kept skating off. After scratching the rivet too many times, I decided to file it down to an even surface. That worked, and when I tried to dimple the end again, the rivet just pushed into the cavity, no need to even drill. (I must have filed off more than I realized, LOL.)

For the other end, I dimpled it with an awl, then used a small drill bit (1/16"?) to drill a pilot hole. That solved the skating, and I drilled out the rivet with a 3/16" bit.

I was so excited, I even cleaned the glass!

Thanks again.

PS - here's a photo. The new rivet is the shiny one at the bottom.

You don't happen to have any bright ideas for cleaning all the metal? Maybe something foaming?

A trick I used was to use a open ended piece of thin metal flashing that I could use as a spacer when I snap the pop rivet. Then pull it out and it will leave a nice working easy to use gap.