Can you tell me if these are spider mites??? Also, red leaves

[Miadunn]

Hey guys! I almost have my first Orchidarium up and running so when we went to get some last minute supplies I rescued this cheap orchid from the dreaded Wal-mart to help fill it. (I know, I know)

Last night I was watering it and I noticed there was a tiny red bug in the crown. I panicked and put a few drops of rubbing alcohol on there to see if that would kill it. I had remembered that when I was first learning (still am).

I came home tonight to examine it, and noticed that there was some VERY tiny little black bugs on the paper towel it was sitting on. Also, there was barely noticeable white down on the leaves. It was hardly there so I am not sure if that means these are mites?? I have never dealt with this before, and unsure of what to do.

I attached pictures of the leaves for your reference...


ALSO, I noticed that this plant has some red markings on the leaves... I wasn't sure if this was in relation to the bugs or just the natural coloring of the plant...

How do I treat this??????? Also, how long do I keep it away from my other plants...

Thanks so much,

Mariah