From the pic of the second one, I think it looks like a Mantis Religiosa (European), as I can see the eye spot on the upper part of the arm. They will probably eat when they have become more accustomed to their new home. Also, they may not be used to crickets so much as they would flying insects such as flies or moths. Mine are kind of afraid of grasshoppers and crix, but will attack a blue bottle fly or a moth quickly. I'm definitely not an expert, still a newbie breeder myself, but giving you info based on my personal experience thus far. Good luck with them!