Looks like a good one to me. If it has no scratches or chips in the faces, and is clear and monocrystalline when you look through it with no bubbles or deformities or anything, then it should be fine to use. 240mm x 15mm is quite large. The diameter might make it a bit challenging to pump. You'll need some fairly beefy lamps or a good cavity probably. Usually rods that large would be water cooled, which greatly complicates things. But if you're only doing one shot at a time with long cooling periods in between, it should be ok to do convection cooling. Ruby is very poor at conducting heat, and it's made worse by the fact that you have to mount it with as little touching the rod as possible, so you get no dark spots. Finding a lamp with a 240mm arc length would be pretty expensive potentially. You'll want to use xenon as your gas preferrably....Optimally you want a linear lamp with the same arc length as the rod. Helical lamps work but they can make hotspots. the 120mm is probably going to be easier to work with. most people that make hobby ones do 2-3" ones but obviously one can't be picky these days. That rod looks similar in size to my larger one, but i'd have to check, but I think it was the same, 6" and not sure on diameter. someone salvaged it from a broken laser and sold it to me. I kinda wish they'd thought to save the whole cavity and lamps and everything.
The mirrors look great, I'd have to test them to know if they're suitable though. I have a few HRs, but not sure if I have any OCs left. that's kinda where i'm stuck personally in my case. Might just have to use one of my older etalon style OCs instead of a dedicated mirror. It works, but not quite as effective.