Toadstool or Mushroom?

 Any Amateur Mycologists out there? Or even a Professional Mycologist, perchance?

There has been a lot of damp humid weather recently, and the fungus population has sprouted overnight. Does anyone recognise these? There are lots of them growing in an area of spare ground at the back of a nearby house. Some were only an inch across, and others as wide as 4 inches. 

Could be Common Agrocype  or Spring Agrocype. Apparently edible, but I'm definitely not going to try it.

And a bit further along, there were these tiny little mushrooms hiding along the edge of the sidewalk. About the size of a little fingernail.

I think this might be Pear-shaped Puffball, Lycoperdon pyriforme. Large clumps of these small puffballs can be found on logs or growing in woodchips along park trails. Puffballs have a small pore on the top where the spores are released. When a large rain drop lands on a mature puffball the force is sufficient to release a "puff" of spores. The spongy filling helps the puffball regain its shape after being compressed.