I would love to help, but I have no idea what they are.
Joker Palys http://www.coralpedia.com/index.php?module=Gallery2&g2_itemId=2843
Candy Apple reds (zoas I believe) http://www.coralpedia.com/index.php?module=Gallery2&g2_itemId=3246
Pennies from heaven (also zoas) http://www.coralpedia.com/index.php?module=Gallery2&g2_itemId=3325
Do you know what region they are from?
No idea I didn't collect them, Pennsylvania?
Did you inquire of the parameters in the tank they came from?
Yes, pretty standard, nothing out of the ordinary, its his frag set-up
What type of lighting were they under before you purchased them?
T5s
Are they zoas or palys?
answered above
I always start low and away from touching any corals at all until they have acclimated and settled in and adjusted to your parameters. Whether they were shipped or picked up, they will be stressed and just need to be placed on the substrate and left alone for a while. Make sure current wiggles them slightly as some will slim light to heavy due to stress. The current will help to remove the slim naturally. If you have a QT that would be even better initially. I always, always run actinics only fore first full photoperiod.
Good luck.
Mucho Reef