Hello and welcome. I'm kind of a newbie myself.
That is a phal. You've removed it from the former medium (probably the stuff it was in from the store) - that is good. You did a great job cleaning the roots. Yes you do have a couple of rotten roots. The green ones look very healthy and I see nubs for some other new roots coming along. I would recommend sanitizing either a pair of scissors or a razor with alcohol and cutting the brownish, squeasy roots off. Don't do anything else with the roots. To be safe you might squirt some 3% hydrogen peroxide solution on the roots only. Let it dry on a clean plate or paper towel, then plant in new medium. I had one that had NO roots back in October and it has roots now.....so yours is looking okay. I prefer semi hydroponics as a potting medium but a good quality bark will do well. Just remember you should probably plan on repotting every 2 years or so. I did not do that and that's why my oldest (6 years) phal had no roots. I have learned so much from tutorials I'd found on You Tube. I learn something new every day. Good luck to you from Massachusetts.