Do those shells have re-rings inside? I suspect they don't.

If no rings, that's a wrapped R360 or R380 kit that has been stripped and lacquered. They did not offer those in a natural finish. The script badges were added in an attempt to make it look like the real thing. One of them is bent and crooked. That diamond plate is the one they used on the R360 stuff, the USA diamond plate was different and would rarely be seen on anything but the entry-level Rogers, for example on a single-head Luxor tom on a student kit.

The R360/380 drums had a speckled coating inside, somewhat different from the grey speckled paint used on regular Rogers drums. Whoever worked over this kit probably painted them black inside as part of his 'customization'.

The R360/380 drums were made by Yamaha, as mentioned above, and were pretty good for lower priced stuff in the late 60's - especially when compared to the made-in-Japan drums from Sears or Montgomery Ward which tended to be really flimsy. The finishes resembled the Rogers ripples, which were no longer offered on mainline Rogers by that time. The snare was a steel-shell clone of a Powertone, complete with the same strainer used on a Luxor snare.

The thing that surprised me about these was their relative quality, especially since they came to be after CBS took over. One would expect them to be cheap-cheap-cheap junk, but probably whomever managed spec'ing them out and finding an offshore builder actually cared about them, and probably there was still some residue of the Ohio Rogers culture and staff that had moved to Fullerton.

But they didn't sell well, and were dropped after a couple of years. In those days, 'made in Japan' usually meant sub-standard, folks knew it, and would shy away regardless of any perceived quality in this case. And a lot of families had folks who had been in, or well-remembered, WWII and had an understandable bias against anything from Japan. That all changed radically in the 1980's, but the world was a very different place in 1969.

CBS resurrected the R360/380 entry-level line in 1980 or so. No relation to the R360/380 from Yammie in the late 60's, the 1980 stuff was not very good.

Then, Island Music started importing the Joe-Chen-made-in-Taiwan mainline Big R drums in the mid-80's after CBS licensed the name to them.