It doesn't look like mite damage to me.
But if you want to be extra safe, you can use pretty much any of the insecticides at Lowe's, Home Depot, Walmart, etc that also list mites as a target pest. Then there are horticultural oils (like neem) and potassium fatty acids (Safer soap) that can be helpful, but it may be a tad harder to completely eliminate mites with these products, they work better as preventatives. There are also products like AzaMax that claim to be effective against mites, but you'll have to go to a specialty shop or order that online.
In the short term you could try spraying the plant(s) with isopropyl rubbing alcohol. It won't hurt orchids, but it'll do a number on mites. You'll need to repeat the treatment at least once a week (if not more) over the course of several weeks. Some people also report success with soapy water (add a small amount of dish soap, don't go overboard).
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