welcome to the forum! I would say one of the biggest things that helped me when I first got my DSLR was popping it in manual mode and figuring out the camera. When you have the camera in full auto mode you're having it make a lot of choices for you, white balance, EV, focusing, shutter, aperture and all this takes longer for the camera to process. This is evident in your dragonfly shot. When you throw handholding and SR into the mix, its even harder to get keeper shots.
It might help to try starting with AV setting and working with some subjects in different lighting situations to see exactly how the camera responds and from there you will learn a lot. For me anyways, it was hard to improve my performance by rehashing my EXIF data on blown shots where I made mistakes.
Everyone has had real helpful suggestions so far, keep shooting and in no time you'll see what works best for you.