Moth and the Mystery Things

I took two of the photos below on June 21, 2017, and the other on June 15, 2017. The photo at the top right seems to be a moth. But what about the photo on the left? I suppose it could be a dragonfly, although I can never recall seeing one in New York City.  As for the photo at bottom (cropped from the left edge of a larger photo), it is very hard to explain, as it looks like no insect I know of.