Those images look fine to me, though they're not as I would have taken them. With your new camera you now have far greater control over depth of field than you ever had with a compact, and this is both a strength and a weakness.
You need to experiment with different apertures, which largely determine DoF for a given lens. But of course that also influences shutter speed, which can affect picture clarity. You have a lot to learn, by which I mean you're starting on a fascinating voyage of discovery. Just don't expect to learn it all at once - it ain't going to happen.
Someone asked what lens you have with the camera. That's a crucial point.
And no, don't take camera or lens back!