As far as I can see. I totally agree with Winparkmen- there's a learning curve, and you'll get used to it, if you have the patience to practice and read and learn.
Picture 1- Yup, that's vignetting. A friend that will stay with you as long as you're using DSLR lenses. When you use a consumer lens, or a kit lens this can be quite distracting- the problem is generally solved by stopping down your lens. All lenses do it to a degree when wide open, but with more expensive lenses it is much less noticeable. That's partly why they are so much more expensive. This example is particularly bad, but as mentioned if you had something in the corners and not just a blank colour then it would be less noticeable. In this example, however, it could be
very easily cropped out.
Picture 2- yeh it looks like flare, but considering the environment, I think it may possibly be the flash bouncing back off of some dust in the air. Did you use flash in this picture? Sometimes in dusty areas, when people use flash the flash hits the dust and illuminates it. You might often see this in snapshots of old churches and stuff.
Picture 3- looks fine to me, considering it's at ISO3200. Nothing super sharp, but nothing super blurry. Did you have your Noise Reduction turned right up? The D7000 has an amazing noise reduction ability, but the way it does this is by blending colours together to get rid of what it thinks is noise. Therefore, turn your noise reduction right up to have a clean, noise free, soft image. Turn your noise reduction off to get a sharp, super noisy image.
So how dow I get good, sharp noise free images? You ask? Use ISO100. Just because the D7000 has amazing Hi ISO ability doesn't means it's going to get beautiful clean sharp images at high-ISO. It's still better than everything else on the market though.
Keep practising, you'll get the hang of it, but to my keenly untrained eye, I don't see anything that can be put down to camera fault here.
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