Hummingbird and Butterfly Gardening: Is this a humming birds nest? & butterfly in my flower bed.., 1 by Gardening_in_GA

Gardening_in_GA wrote:
I bought a bird feeder, humming bird feeder, and double shephards hook for near my flower bed yesterday, almost right after I set it all up a cute little humming bird was hangging out and enjoying the new feeder!

Later yesterday evening we were all outside and we saw a nest up in one of our trees and my husband lifted a neighbor kid up to look inside she said there was nothing in there but today I lowered the branch down and saw 3 eggs! They are tiny and blue are these humming bird eggs and nest??? If it is do you think it would be ok for me to keep lowering the branch to take a peek insde and pictures??? (of course not touching the nest). How long does it take for the eggs to hatch?

I also have some pictures of a pretty butterfly on my butterfly bush this morning. What kind is it? It had some blue on its wings and under it had some orange/red markings. My flwoer bed isnt looking its best right now since I never mulched it! The grass is growing back in I need to fix that this weekend I guess :)

Here are the pictures!