Welcome Allan.
I have a K-S2 as well. It's a very capable camera. I think the first step for moving away from the auto settings is to control one variable in the exposure triangle (aperture, shutter speed and ISO) yourself. Aperture is probably the one to start with, so try Av mode and see what happens. When you change the aperture, it will affect the depth of field (DOF), that is, the extent of the area in front of and behind the subject that is in reasonable focus. You can use a wide aperture (ie low f number, like f2.8) for short DOF (to separate the subject from the foreground and background) and a high one (like f11) for greater DOF. Here is an online calculator to help work out the DOF for particular settings:
A Flexible Depth of Field Calculator
With most lenses, a wide aperture will not give sharp corners/edge, even if they are in the same plane of focus. So if you want, say, the whole facade of a building to be sharp you will often need to "stop down" (that is, use a narrower aperture). The optimum sharpness is often about f8 to f11 (check some tests for the particular lens). Beyond a certain aperture, the resolution will start to decrease due to diffraction - which is why most people with most cameras/lenses will use f8 or f11 for landscapes (on an APS-C camera) rather than say f16 or f22.
Once you feel more confident about aperture, you can move on to shutter speed (to control the extent of motion blur).
With ISO, the idea is simply the lower the better. With the K-S2, I try to keep the ISO to 3200 or less as much as possible. When you are using it on a tripod, you should use 100 ISO, unless that would cause unwanted effects (e.g. where you want to freeze a moving subject so that a faster shutter is required).
Getting the hang of the triangle is probably the most crucial first step in advancing your photography. You will start to see opportunities that you had not seen before.