Nice find! The caps are almost definitely ABS if they're yellowed. They're not doubleshot since you can't see both colours on the back of the keycap:
This is what the back of doubleshot caps will look like. As a result, it's likely either lasered or pad-printed. Alps caps are unfortunately quite hard to come by, so you'll be stuck with the stock caps for the time being. No big deal, since blue Alps are some of the nicest switches out there.
Are they genuine blue Alps? I don't know. They don't have the Alps logo, so probably not. I don't know who makes them, but your best bet would be to check out the Wiki pages on this model number and on
Alps clones.
Now for the adapter. The bad news: it can be one of two protocols: AT or XT. If it's AT, a passive DIN -> PS2 adapter will work perfectly. If it's XT, you'll need to build a converter with a development board like a Teensy or a Pro Micro. Again, a model number would help here because you could then check the wiki for other peoples' findings.