If you're trying to use the "automatic" support placement, then I don't know how you can avoid getting supports in some of those other areas. There's a bunch of other places in that model that have 90 degree overhangs, so they would need support too. But the beautiful thing about S3D is that you can customize it however you want.
So if you want to try to stuck with the initial "automatic" placement, just go to Tools > Customize Support Structures, and choose a pillar resolution of 1mm with an overhang angle of 45-60 degrees (depending on what your printer can support). Then click "Generate Automatic Supports". That will place support in all the areas that have extreme overhangs that exceed that value. You can then click on "Remove Existing Supports" and click on any support structures that you don't want.
However, if you really just want support on those 2 tiny areas from your screenshot, then it's probably easier to click "Clear All Supports" and then go to "Add New Support Structure" and just start adding them in those 2 areas.
If you've never done this before, this video was also really helpful when I was first learning this stuff:
https://www.youtube.com/watch?v=6tlrCpwAV4M