What are they?

[ReeferDave79]

Ok, so I made a trip to my not-so-local fishstore and picked up these 2 frags. I bought both of these as assorted frags so idk what they are. I’m thinking the encrusting is maybe a chalice and the stick is either birds nest, or stylo. Please help me identify them so I can properly care for em. Thank you!

 

[bday1335]

Hydnophora on the left, Stylophora on the right