Obviously, the new growths and the new roots coming out of them are alive.
The older roots, the white ones all around the whole root ball and mix, may or may not be alive.
You can tell easily by twisting them when super dry like it looks in those pictures. The dead ones will easily break as they are very brittle when dry.
The live roots will be tough and will not break when gently pinched. So that's the quick and easy test if you are not sure.
I would not divide the plant yet. It may sulk for a long time if you did. It's best to grow them big. then they will stay stronger and bloom better. Wait until you have over 10 canes. then maybe cut in half, but not necessary.
You can grow orchids without any medium as long as you can find a way to keep them humidity super high and water all the time.
Choose what works the best for the conditions you can provide.