Hi Bunnings workshop community,
Nearly 10 years ago in a newly built house, some cracks showed up and was told to us that they were "foundational cracks". I've attached some photos. The discoloration around the cracks was from the builders trying to paint over with the wrong shade of paint.




I would like to tackle this problem, but have a few questions to ask:
1. Can I just use a generic wall kit for cracks like these (doorframe, wall, corner) e.g. https://www.bunnings.com.au/selleys-spakfilla-wall-repair-kit_p0436967
2. What is the recommended safety precautions around sanding the paint/wall? I do not own a shopvac, so any recommendations of a shopvac with a hepa filter that would help here would be appreciated.
3. For painting over these cracks, do I need to perform any priming/multiple coats?
Somewhat relatedly, another part of the house has a ceiling where the roof leak was fixed years ago, but the leak spot never touched up. I was wondering if I could just paint over this? Picture attached below.

Thanks in advance!