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You are right with the bird's-eye speedwell suggestion.
Some kind of aster family plants. Was it in a garden?
This is more of a garden plant and not really a wildflower of New York. This site is for plants growing on their own in the wild. Nice color though.
This is enchanter's nightshade. It is fairly weedy.
You seem to have trouble focusing on the flower. This is a common problem with digital cameras. Try holding your hand next to the flower, focusing in that, then pulling your hand away before you shoot.