You must acclimate fish!
You can use the drip method, or if you have hardier fish, you can float the bag for 20-30-min, add 1/4-1/2 cup water (depending on how much water is in the bag), wait 20-30mins, add water, wait, add water, when the bag is full, dump half out (not in your tank!), add water, wait, continue till bag is full. Release fish. Drip method is better, I've never used it on a fish though, not yet anyway.
hot883 does it much faster than we do. I've always waited at least 20min. that's the way the lfs told us to do it.
But yes, test everything in your water, have the lfs test your water, your test kit might be wrong (ours was once, told me I had deadly nitrates when they were under 20). Check the date on the kit.
Why are you adding stress coat? I thought that was for fresh water? :notsure: Never heard of anyone adding that to saltwater, is the stress coat made for sw? Just asking...
are your damsel and tang picking on the new fish (though I wouldn't think they would die in a day...). Do you see the fish eat at the lfs?