Got some new corals in today but need help!!!

Haha yeah they are from salt critters, 5 corals for 60 bucks shipped i picked 2 day shiiping and all arrived alive and opened within 5 minutes except for that spikey looking one.

But today this morning it has finally opened so i attached a pic of what it looks like now and maybe that will help it seems to have puffed up. i have a trumpet coral which is greenish blue and the skeletons look different but maybe that is because it is small? My trumpet coral has a wood looking skeleton that is brown but it might be a different variety? well hope this picture helps.

 

And what would the second one be then?

Edit: Ah yeah i looked at the salt critters website it is a Diploastrea for the second

 

The tissue is what is in the way that is making it hard to ID. But i am sure you don't want to strip it off just to find out what it is.

Here is a skeleton of Caulastrea AKA trumpet coral, candy coral.

And here is another one of many Lobophyllia skeletons.

 

I agree with some sort of a lobo species on the first one.

 

Yes judging by those skeletons the second one looks almost like its shape it even had those little spiked areas at the top sticking out before it opened up but it sticks straight up not branching like my candy cane i already have so it has to be a lobo species coral