Ooh, I love that pink peony. I only have 2 white ones, though I certainly like them too!
I hope somebody knows what that first mystery flower is because I have the exact same thing, only in a brighter pink. I can attest that they are indestructible because they survived being in the front yard with the dogs, and multiplied like crazy despite being run over daily :) Mine are in full sun and seem to like it.
That's good to know! Mine are out of reach of the dogs and the kids don't usually play in that area of the yard. But if I move them that might change.