The gilled one - You have to ID it with a spore print, gill structure, etc... - if it's an amanita, you're prolly dead. If not, It's a run o' the mill $2 a pound store variety agaricus. Not worth the chance!
I read the guides, have a Bio degree, and a microscope, but still don't mess with any non-wood growing gilled 'shrooms.
The immature puffball one is edible tho. Younger = better. Oysters, sulphur shelf (young) , hen of the woods (AKA maitake), morels, and some boletes are the only ones I mess with.
You can grow some oysters or shitake in logs for about 30 bucks, with online "plug spawn" - it's fun n easy if u can get oak braches 4-6" diameter. Lemme know if u try, I'll give ya some tips.
Good luck