As has been said, your picture has quite a difficult distribution of tone values with a lot of black in the area, where the center weighted metering will mainly meter.
This leads to an overexposure in the highlight areas. Without your nice dog you would have an underexposure, as bright tones would domniate the scene.
In addition you have recognized that the latest Pentax models have an other basic setting for the metering and the jpeg engine.
In my experience older models did exposure a bit more carefully. This led to pictures that looked or that were underexposured when they had a lot of dark tones. On my K-10D the exposure correction was set to + 0.5 most permanently. In addition it seems to me, that the jpeg engine of the older models had a more film like approach, i.e. highlights were muted, while the newer profile follows a more linear curve when reproducing the light values in the scene.
My experience is that this leads to a lot of blown out higlights in comparison to older cameras. I can say this for my K-70 and my K-1 in comparison to my K-10D.
I do not complaint, because one of the issues I did not like on my K-10D was its constant "underexposure".
However it was not necessary for me to set the exposure compensation of my K-70 to - 0.5. Instead one can use the highlight correction or just set the custom image settings to ones liking.
I would try the highlight correction at first. Switch it on to "Auto" mode. The issue is, highlight correction only works from ISO 200 upwards. Thus you have to set ISO to "Auto" as well and just set an convenient upper value. ISO 200 will do, but I would suggest to select a higher value for your "walk around profile".
With this options allways on blown out hightlights will be no more big issue. Remember, you can allways set ISO to 100 when you want an this will switch of highlight correction as well. Or you store different settings in the user profiles.
As an alternative you can set "Highlight" in the custom picture parameters to a minus value, which will tone down the highlights in every picture.
More info | Give further expression with PENTAX "Custom Image" | RICOH IMAGING
However, the main issue of your picture was the amount of dark values and high contrast. There is a reason, why portrait photographers do not like harsh sunlight.