This fish are moving around too fast to get a good view, but the purple tang seems to have ich. I don't see any evidence of Brooklynella. It is possible or course to have multiple diseases at the same time. The best way to differentiate between ich and velvet is in the latter case, the fish will go off their feed and breath fast/heavy. With ich, that doesn't happen until near the end of the infection, and early on, you will see distinct white spots with ich that will not be visible with velvet.
If you can isolate the fish - copper would be the best course of action (won't work for Brook though). If you think you can rule out velvet, you could then consider hyposalinity (no inverts of course). Tank Transfer won't work for velvet, and won't work in this case unless you have a clean tank to move the fish into afterwards.
Jay