That kit looks like some that I have had around for years. A buddy gave me a few many years ago when he was getting out of turning pens. I never turned any. The one I'm talking about is the Americana Pen w/ Stripe Band from CSUSA. Their part number: 050-4206. I looked it up and apparently they don't carry it anymore.
It's not exactly the same, but the style is very similar and the center band looks just the same. The two tubes are both 2-3/64" long, and 5/16" OD, and 9/32" ID.
I attached a couple photos. If these specs match your pen, PM me and I'll just send you this kit if you want it. I can't use it.
As for the wood, my guess would be Cocobolo.
You're pretty nice to rehab someone else's work. I guess the guy is really attached to the pen.