Interesting Kit for sure.
Possibly a German made kit?
I've never seen an MIJ with two of those tom mounts on the bass drum like that (I've only seen either two mounts on a single rail, or a double tom mount on a single post, similar to Ludwig or Gretsch). I've also never seen an MIJ that had an internal tone control on the bass drum. Plus those lugs are not very MIJ looking; they almost look similar to Slingerland Radio King style. And the floor tom legs sure look very Sonor-like. Between all that and the slotted tension rods, I think maybe this is a Sonor knock off that was made in a different country, perhaps Germany, or even Russia, Italy etc.
It looks like 12/13/16/22 with a 14 Snare. Are all the heads standard, USA (non-metric) sized?
Also, could you measure the hole size of both the tom brackets on the bass drum and the tom brackets on the toms themselves? I wonder if the brackets on the bass drum accept 3/4" tubing and the brackets on the toms accept 5/8" tubing? I had a kit like that once with a similar mounting system (just a single bass drum bracket, though along with a single tom). The tom arm was missing and it was dang hard to find a replacement arm that was 3/4" on one side and 5/8" on the other. I ended up just putting the tom on a snare stand.